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Finding the Third Proportional to 158,143.50 and 231,624.75

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Solution

The third proportional to 158,143.50 and 231,624.75 is: 339,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,143.50 : 231,624.75 = 231,624.75 : x
  2. Step 2: Convert to fraction form
    158,143.50/231,624.75 = 231,624.75/x
  3. Step 3: Cross multiply
    158,143.50x = 231,624.75 × 231,624.75
  4. Step 4: Simplify right side
    158,143.50x = 53,650,024,812.56
  5. Step 5: Solve for x
    x = 53,650,024,812.56/158,143.50
  6. Step 6: Final answer
    x = 339,249.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.