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Finding the Third Proportional to 185,442 and 278,038

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Solution

The third proportional to 185,442 and 278,038 is: 416,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,442 : 278,038 = 278,038 : x
  2. Step 2: Convert to fraction form
    185,442/278,038 = 278,038/x
  3. Step 3: Cross multiply
    185,442x = 278,038 × 278,038
  4. Step 4: Simplify right side
    185,442x = 77,305,129,444
  5. Step 5: Solve for x
    x = 77,305,129,444/185,442
  6. Step 6: Final answer
    x = 416,869.58

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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.