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Finding the Third Proportional to 151,453.13 and 234,478.13

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Solution

The third proportional to 151,453.13 and 234,478.13 is: 363,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,453.13 : 234,478.13 = 234,478.13 : x
  2. Step 2: Convert to fraction form
    151,453.13/234,478.13 = 234,478.13/x
  3. Step 3: Cross multiply
    151,453.13x = 234,478.13 × 234,478.13
  4. Step 4: Simplify right side
    151,453.13x = 54,979,991,103.52
  5. Step 5: Solve for x
    x = 54,979,991,103.52/151,453.13
  6. Step 6: Final answer
    x = 363,016.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.