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Finding the Third Proportional to 153,351 and 232,789.50

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Solution

The third proportional to 153,351 and 232,789.50 is: 353,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,351 : 232,789.50 = 232,789.50 : x
  2. Step 2: Convert to fraction form
    153,351/232,789.50 = 232,789.50/x
  3. Step 3: Cross multiply
    153,351x = 232,789.50 × 232,789.50
  4. Step 4: Simplify right side
    153,351x = 54,190,951,310.25
  5. Step 5: Solve for x
    x = 54,190,951,310.25/153,351
  6. Step 6: Final answer
    x = 353,378.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.