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Finding the Third Proportional to 154,170 and 231,259.50

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Solution

The third proportional to 154,170 and 231,259.50 is: 346,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,170 : 231,259.50 = 231,259.50 : x
  2. Step 2: Convert to fraction form
    154,170/231,259.50 = 231,259.50/x
  3. Step 3: Cross multiply
    154,170x = 231,259.50 × 231,259.50
  4. Step 4: Simplify right side
    154,170x = 53,480,956,340.25
  5. Step 5: Solve for x
    x = 53,480,956,340.25/154,170
  6. Step 6: Final answer
    x = 346,896.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.