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Finding the Third Proportional to 152,929.13 and 233,421.19

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Solution

The third proportional to 152,929.13 and 233,421.19 is: 356,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,929.13 : 233,421.19 = 233,421.19 : x
  2. Step 2: Convert to fraction form
    152,929.13/233,421.19 = 233,421.19/x
  3. Step 3: Cross multiply
    152,929.13x = 233,421.19 × 233,421.19
  4. Step 4: Simplify right side
    152,929.13x = 54,485,450,773.91
  5. Step 5: Solve for x
    x = 54,485,450,773.91/152,929.13
  6. Step 6: Final answer
    x = 356,279.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.