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Finding the Third Proportional to 138,972 and 215,318

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Solution

The third proportional to 138,972 and 215,318 is: 333,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972 : 215,318 = 215,318 : x
  2. Step 2: Convert to fraction form
    138,972/215,318 = 215,318/x
  3. Step 3: Cross multiply
    138,972x = 215,318 × 215,318
  4. Step 4: Simplify right side
    138,972x = 46,361,841,124
  5. Step 5: Solve for x
    x = 46,361,841,124/138,972
  6. Step 6: Final answer
    x = 333,605.63

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Why These Related Problems?

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