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Finding the Third Proportional to 185,672.25 and 278,916.75

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Solution

The third proportional to 185,672.25 and 278,916.75 is: 418,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,672.25 : 278,916.75 = 278,916.75 : x
  2. Step 2: Convert to fraction form
    185,672.25/278,916.75 = 278,916.75/x
  3. Step 3: Cross multiply
    185,672.25x = 278,916.75 × 278,916.75
  4. Step 4: Simplify right side
    185,672.25x = 77,794,553,430.56
  5. Step 5: Solve for x
    x = 77,794,553,430.56/185,672.25
  6. Step 6: Final answer
    x = 418,988.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.