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Finding the Third Proportional to 239,888 and 352,048

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Solution

The third proportional to 239,888 and 352,048 is: 516,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,888 : 352,048 = 352,048 : x
  2. Step 2: Convert to fraction form
    239,888/352,048 = 352,048/x
  3. Step 3: Cross multiply
    239,888x = 352,048 × 352,048
  4. Step 4: Simplify right side
    239,888x = 123,937,794,304
  5. Step 5: Solve for x
    x = 123,937,794,304/239,888
  6. Step 6: Final answer
    x = 516,648.58

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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.