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Finding the Third Proportional to 238,177.50 and 338,550

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Solution

The third proportional to 238,177.50 and 338,550 is: 481,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,177.50 : 338,550 = 338,550 : x
  2. Step 2: Convert to fraction form
    238,177.50/338,550 = 338,550/x
  3. Step 3: Cross multiply
    238,177.50x = 338,550 × 338,550
  4. Step 4: Simplify right side
    238,177.50x = 114,616,102,500
  5. Step 5: Solve for x
    x = 114,616,102,500/238,177.50
  6. Step 6: Final answer
    x = 481,221.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.