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Finding the Third Proportional to 138,098.25 and 213,252.75

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Solution

The third proportional to 138,098.25 and 213,252.75 is: 329,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,098.25 : 213,252.75 = 213,252.75 : x
  2. Step 2: Convert to fraction form
    138,098.25/213,252.75 = 213,252.75/x
  3. Step 3: Cross multiply
    138,098.25x = 213,252.75 × 213,252.75
  4. Step 4: Simplify right side
    138,098.25x = 45,476,735,382.56
  5. Step 5: Solve for x
    x = 45,476,735,382.56/138,098.25
  6. Step 6: Final answer
    x = 329,307.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.