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Finding the Third Proportional to 158,127.75 and 338,854.50

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Solution

The third proportional to 158,127.75 and 338,854.50 is: 726,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,127.75 : 338,854.50 = 338,854.50 : x
  2. Step 2: Convert to fraction form
    158,127.75/338,854.50 = 338,854.50/x
  3. Step 3: Cross multiply
    158,127.75x = 338,854.50 × 338,854.50
  4. Step 4: Simplify right side
    158,127.75x = 114,822,372,170.25
  5. Step 5: Solve for x
    x = 114,822,372,170.25/158,127.75
  6. Step 6: Final answer
    x = 726,136.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.