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Finding the Third Proportional to 151,863.75 and 240,165.75

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Solution

The third proportional to 151,863.75 and 240,165.75 is: 379,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,863.75 : 240,165.75 = 240,165.75 : x
  2. Step 2: Convert to fraction form
    151,863.75/240,165.75 = 240,165.75/x
  3. Step 3: Cross multiply
    151,863.75x = 240,165.75 × 240,165.75
  4. Step 4: Simplify right side
    151,863.75x = 57,679,587,473.06
  5. Step 5: Solve for x
    x = 57,679,587,473.06/151,863.75
  6. Step 6: Final answer
    x = 379,811.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.