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Finding the Third Proportional to 158,717.25 and 246,030.75

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Solution

The third proportional to 158,717.25 and 246,030.75 is: 381,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,717.25 : 246,030.75 = 246,030.75 : x
  2. Step 2: Convert to fraction form
    158,717.25/246,030.75 = 246,030.75/x
  3. Step 3: Cross multiply
    158,717.25x = 246,030.75 × 246,030.75
  4. Step 4: Simplify right side
    158,717.25x = 60,531,129,945.56
  5. Step 5: Solve for x
    x = 60,531,129,945.56/158,717.25
  6. Step 6: Final answer
    x = 381,377.13

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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.