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Finding the Third Proportional to 158,546.50 and 232,131.50

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Solution

The third proportional to 158,546.50 and 232,131.50 is: 339,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,546.50 : 232,131.50 = 232,131.50 : x
  2. Step 2: Convert to fraction form
    158,546.50/232,131.50 = 232,131.50/x
  3. Step 3: Cross multiply
    158,546.50x = 232,131.50 × 232,131.50
  4. Step 4: Simplify right side
    158,546.50x = 53,885,033,292.25
  5. Step 5: Solve for x
    x = 53,885,033,292.25/158,546.50
  6. Step 6: Final answer
    x = 339,868.96

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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.