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Finding the Third Proportional to 152,651 and 309,442

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Solution

The third proportional to 152,651 and 309,442 is: 627,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,651 : 309,442 = 309,442 : x
  2. Step 2: Convert to fraction form
    152,651/309,442 = 309,442/x
  3. Step 3: Cross multiply
    152,651x = 309,442 × 309,442
  4. Step 4: Simplify right side
    152,651x = 95,754,351,364
  5. Step 5: Solve for x
    x = 95,754,351,364/152,651
  6. Step 6: Final answer
    x = 627,276.28

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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.