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Finding the Third Proportional to 158,124.66 and 252,906.05

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Solution

The third proportional to 158,124.66 and 252,906.05 is: 404,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,124.66 : 252,906.05 = 252,906.05 : x
  2. Step 2: Convert to fraction form
    158,124.66/252,906.05 = 252,906.05/x
  3. Step 3: Cross multiply
    158,124.66x = 252,906.05 × 252,906.05
  4. Step 4: Simplify right side
    158,124.66x = 63,961,468,545.94
  5. Step 5: Solve for x
    x = 63,961,468,545.94/158,124.66
  6. Step 6: Final answer
    x = 404,500.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.