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Finding the Third Proportional to 138,600 and 215,028

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Solution

The third proportional to 138,600 and 215,028 is: 333,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,600 : 215,028 = 215,028 : x
  2. Step 2: Convert to fraction form
    138,600/215,028 = 215,028/x
  3. Step 3: Cross multiply
    138,600x = 215,028 × 215,028
  4. Step 4: Simplify right side
    138,600x = 46,237,040,784
  5. Step 5: Solve for x
    x = 46,237,040,784/138,600
  6. Step 6: Final answer
    x = 333,600.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.