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Finding the Third Proportional to 152,631 and 309,402

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Solution

The third proportional to 152,631 and 309,402 is: 627,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,631 : 309,402 = 309,402 : x
  2. Step 2: Convert to fraction form
    152,631/309,402 = 309,402/x
  3. Step 3: Cross multiply
    152,631x = 309,402 × 309,402
  4. Step 4: Simplify right side
    152,631x = 95,729,597,604
  5. Step 5: Solve for x
    x = 95,729,597,604/152,631
  6. Step 6: Final answer
    x = 627,196.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.