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Finding the Third Proportional to 138,275 and 219,867.50

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Solution

The third proportional to 138,275 and 219,867.50 is: 349,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,275 : 219,867.50 = 219,867.50 : x
  2. Step 2: Convert to fraction form
    138,275/219,867.50 = 219,867.50/x
  3. Step 3: Cross multiply
    138,275x = 219,867.50 × 219,867.50
  4. Step 4: Simplify right side
    138,275x = 48,341,717,556.25
  5. Step 5: Solve for x
    x = 48,341,717,556.25/138,275
  6. Step 6: Final answer
    x = 349,605.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.