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Finding the Third Proportional to 238,614.75 and 349,902

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Solution

The third proportional to 238,614.75 and 349,902 is: 513,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,614.75 : 349,902 = 349,902 : x
  2. Step 2: Convert to fraction form
    238,614.75/349,902 = 349,902/x
  3. Step 3: Cross multiply
    238,614.75x = 349,902 × 349,902
  4. Step 4: Simplify right side
    238,614.75x = 122,431,409,604
  5. Step 5: Solve for x
    x = 122,431,409,604/238,614.75
  6. Step 6: Final answer
    x = 513,092.38

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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.