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Finding the Third Proportional to 138,444 and 216,892.50

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Solution

The third proportional to 138,444 and 216,892.50 is: 339,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444 : 216,892.50 = 216,892.50 : x
  2. Step 2: Convert to fraction form
    138,444/216,892.50 = 216,892.50/x
  3. Step 3: Cross multiply
    138,444x = 216,892.50 × 216,892.50
  4. Step 4: Simplify right side
    138,444x = 47,042,356,556.25
  5. Step 5: Solve for x
    x = 47,042,356,556.25/138,444
  6. Step 6: Final answer
    x = 339,793.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.