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Finding the Third Proportional to 138,184.31 and 292,976.16

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Solution

The third proportional to 138,184.31 and 292,976.16 is: 621,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,184.31 : 292,976.16 = 292,976.16 : x
  2. Step 2: Convert to fraction form
    138,184.31/292,976.16 = 292,976.16/x
  3. Step 3: Cross multiply
    138,184.31x = 292,976.16 × 292,976.16
  4. Step 4: Simplify right side
    138,184.31x = 85,835,028,131.02
  5. Step 5: Solve for x
    x = 85,835,028,131.02/138,184.31
  6. Step 6: Final answer
    x = 621,163.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.