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Finding the Third Proportional to 239,856 and 352,008

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Solution

The third proportional to 239,856 and 352,008 is: 516,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,856 : 352,008 = 352,008 : x
  2. Step 2: Convert to fraction form
    239,856/352,008 = 352,008/x
  3. Step 3: Cross multiply
    239,856x = 352,008 × 352,008
  4. Step 4: Simplify right side
    239,856x = 123,909,632,064
  5. Step 5: Solve for x
    x = 123,909,632,064/239,856
  6. Step 6: Final answer
    x = 516,600.09

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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.