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Finding the Third Proportional to 152,707 and 309,518

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Solution

The third proportional to 152,707 and 309,518 is: 627,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707 : 309,518 = 309,518 : x
  2. Step 2: Convert to fraction form
    152,707/309,518 = 309,518/x
  3. Step 3: Cross multiply
    152,707x = 309,518 × 309,518
  4. Step 4: Simplify right side
    152,707x = 95,801,392,324
  5. Step 5: Solve for x
    x = 95,801,392,324/152,707
  6. Step 6: Final answer
    x = 627,354.29

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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.