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Finding the Third Proportional to 95,304 and 207,208

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Solution

The third proportional to 95,304 and 207,208 is: 450,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,304 : 207,208 = 207,208 : x
  2. Step 2: Convert to fraction form
    95,304/207,208 = 207,208/x
  3. Step 3: Cross multiply
    95,304x = 207,208 × 207,208
  4. Step 4: Simplify right side
    95,304x = 42,935,155,264
  5. Step 5: Solve for x
    x = 42,935,155,264/95,304
  6. Step 6: Final answer
    x = 450,507.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.