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Finding the Third Proportional to 207,959 and 310,552

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Solution

The third proportional to 207,959 and 310,552 is: 463,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,959 : 310,552 = 310,552 : x
  2. Step 2: Convert to fraction form
    207,959/310,552 = 310,552/x
  3. Step 3: Cross multiply
    207,959x = 310,552 × 310,552
  4. Step 4: Simplify right side
    207,959x = 96,442,544,704
  5. Step 5: Solve for x
    x = 96,442,544,704/207,959
  6. Step 6: Final answer
    x = 463,757.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.