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Finding the Third Proportional to 278,180 and 417,076

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Solution

The third proportional to 278,180 and 417,076 is: 625,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,180 : 417,076 = 417,076 : x
  2. Step 2: Convert to fraction form
    278,180/417,076 = 417,076/x
  3. Step 3: Cross multiply
    278,180x = 417,076 × 417,076
  4. Step 4: Simplify right side
    278,180x = 173,952,389,776
  5. Step 5: Solve for x
    x = 173,952,389,776/278,180
  6. Step 6: Final answer
    x = 625,323.14

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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.