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Finding the Third Proportional to 239,952 and 350,712

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Solution

The third proportional to 239,952 and 350,712 is: 512,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952 : 350,712 = 350,712 : x
  2. Step 2: Convert to fraction form
    239,952/350,712 = 350,712/x
  3. Step 3: Cross multiply
    239,952x = 350,712 × 350,712
  4. Step 4: Simplify right side
    239,952x = 122,998,906,944
  5. Step 5: Solve for x
    x = 122,998,906,944/239,952
  6. Step 6: Final answer
    x = 512,597.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.