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Finding the Third Proportional to 207,370 and 330,748

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Solution

The third proportional to 207,370 and 330,748 is: 527,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 330,748 = 330,748 : x
  2. Step 2: Convert to fraction form
    207,370/330,748 = 330,748/x
  3. Step 3: Cross multiply
    207,370x = 330,748 × 330,748
  4. Step 4: Simplify right side
    207,370x = 109,394,239,504
  5. Step 5: Solve for x
    x = 109,394,239,504/207,370
  6. Step 6: Final answer
    x = 527,531.66

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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.