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Finding the Third Proportional to 137,277.28 and 281,244.66

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Solution

The third proportional to 137,277.28 and 281,244.66 is: 576,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,277.28 : 281,244.66 = 281,244.66 : x
  2. Step 2: Convert to fraction form
    137,277.28/281,244.66 = 281,244.66/x
  3. Step 3: Cross multiply
    137,277.28x = 281,244.66 × 281,244.66
  4. Step 4: Simplify right side
    137,277.28x = 79,098,556,669.18
  5. Step 5: Solve for x
    x = 79,098,556,669.18/137,277.28
  6. Step 6: Final answer
    x = 576,195.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.