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Finding the Third Proportional to 207,753.61 and 297,061.80

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Solution

The third proportional to 207,753.61 and 297,061.80 is: 424,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,753.61 : 297,061.80 = 297,061.80 : x
  2. Step 2: Convert to fraction form
    207,753.61/297,061.80 = 297,061.80/x
  3. Step 3: Cross multiply
    207,753.61x = 297,061.80 × 297,061.80
  4. Step 4: Simplify right side
    207,753.61x = 88,245,715,804.19
  5. Step 5: Solve for x
    x = 88,245,715,804.19/207,753.61
  6. Step 6: Final answer
    x = 424,761.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.