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Finding the Third Proportional to 239,892 and 352,062

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Solution

The third proportional to 239,892 and 352,062 is: 516,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,892 : 352,062 = 352,062 : x
  2. Step 2: Convert to fraction form
    239,892/352,062 = 352,062/x
  3. Step 3: Cross multiply
    239,892x = 352,062 × 352,062
  4. Step 4: Simplify right side
    239,892x = 123,947,651,844
  5. Step 5: Solve for x
    x = 123,947,651,844/239,892
  6. Step 6: Final answer
    x = 516,681.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.