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Finding the Third Proportional to 207,959 and 330,569

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Solution

The third proportional to 207,959 and 330,569 is: 525,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,959 : 330,569 = 330,569 : x
  2. Step 2: Convert to fraction form
    207,959/330,569 = 330,569/x
  3. Step 3: Cross multiply
    207,959x = 330,569 × 330,569
  4. Step 4: Simplify right side
    207,959x = 109,275,863,761
  5. Step 5: Solve for x
    x = 109,275,863,761/207,959
  6. Step 6: Final answer
    x = 525,468.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.