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Finding the Third Proportional to 133,528 and 207,952

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Solution

The third proportional to 133,528 and 207,952 is: 323,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,528 : 207,952 = 207,952 : x
  2. Step 2: Convert to fraction form
    133,528/207,952 = 207,952/x
  3. Step 3: Cross multiply
    133,528x = 207,952 × 207,952
  4. Step 4: Simplify right side
    133,528x = 43,244,034,304
  5. Step 5: Solve for x
    x = 43,244,034,304/133,528
  6. Step 6: Final answer
    x = 323,857.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.