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Finding the Third Proportional to 151,805.25 and 241,275.38

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Solution

The third proportional to 151,805.25 and 241,275.38 is: 383,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,805.25 : 241,275.38 = 241,275.38 : x
  2. Step 2: Convert to fraction form
    151,805.25/241,275.38 = 241,275.38/x
  3. Step 3: Cross multiply
    151,805.25x = 241,275.38 × 241,275.38
  4. Step 4: Simplify right side
    151,805.25x = 58,213,806,581.39
  5. Step 5: Solve for x
    x = 58,213,806,581.39/151,805.25
  6. Step 6: Final answer
    x = 383,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.