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Finding the Third Proportional to 138,272.06 and 215,427.09

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Solution

The third proportional to 138,272.06 and 215,427.09 is: 335,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,272.06 : 215,427.09 = 215,427.09 : x
  2. Step 2: Convert to fraction form
    138,272.06/215,427.09 = 215,427.09/x
  3. Step 3: Cross multiply
    138,272.06x = 215,427.09 × 215,427.09
  4. Step 4: Simplify right side
    138,272.06x = 46,408,832,721.57
  5. Step 5: Solve for x
    x = 46,408,832,721.57/138,272.06
  6. Step 6: Final answer
    x = 335,634.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.