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Finding the Third Proportional to 207,666 and 315,604

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Solution

The third proportional to 207,666 and 315,604 is: 479,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,666 : 315,604 = 315,604 : x
  2. Step 2: Convert to fraction form
    207,666/315,604 = 315,604/x
  3. Step 3: Cross multiply
    207,666x = 315,604 × 315,604
  4. Step 4: Simplify right side
    207,666x = 99,605,884,816
  5. Step 5: Solve for x
    x = 99,605,884,816/207,666
  6. Step 6: Final answer
    x = 479,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.