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Finding the Third Proportional to 150,125 and 278,104

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Solution

The third proportional to 150,125 and 278,104 is: 515,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,125 : 278,104 = 278,104 : x
  2. Step 2: Convert to fraction form
    150,125/278,104 = 278,104/x
  3. Step 3: Cross multiply
    150,125x = 278,104 × 278,104
  4. Step 4: Simplify right side
    150,125x = 77,341,834,816
  5. Step 5: Solve for x
    x = 77,341,834,816/150,125
  6. Step 6: Final answer
    x = 515,182.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.