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Finding the Third Proportional to 152,654 and 309,446

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Solution

The third proportional to 152,654 and 309,446 is: 627,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,654 : 309,446 = 309,446 : x
  2. Step 2: Convert to fraction form
    152,654/309,446 = 309,446/x
  3. Step 3: Cross multiply
    152,654x = 309,446 × 309,446
  4. Step 4: Simplify right side
    152,654x = 95,756,826,916
  5. Step 5: Solve for x
    x = 95,756,826,916/152,654
  6. Step 6: Final answer
    x = 627,280.17

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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.