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Finding the Third Proportional to 125,176.50 and 278,340.75

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Solution

The third proportional to 125,176.50 and 278,340.75 is: 618,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,176.50 : 278,340.75 = 278,340.75 : x
  2. Step 2: Convert to fraction form
    125,176.50/278,340.75 = 278,340.75/x
  3. Step 3: Cross multiply
    125,176.50x = 278,340.75 × 278,340.75
  4. Step 4: Simplify right side
    125,176.50x = 77,473,573,110.56
  5. Step 5: Solve for x
    x = 77,473,573,110.56/125,176.50
  6. Step 6: Final answer
    x = 618,914.68

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.