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Finding the Third Proportional to 220,866.75 and 344,422.13

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Solution

The third proportional to 220,866.75 and 344,422.13 is: 537,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866.75 : 344,422.13 = 344,422.13 : x
  2. Step 2: Convert to fraction form
    220,866.75/344,422.13 = 344,422.13/x
  3. Step 3: Cross multiply
    220,866.75x = 344,422.13 × 344,422.13
  4. Step 4: Simplify right side
    220,866.75x = 118,626,600,189.52
  5. Step 5: Solve for x
    x = 118,626,600,189.52/220,866.75
  6. Step 6: Final answer
    x = 537,095.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.