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Finding the Third Proportional to 137,403 and 218,565

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Solution

The third proportional to 137,403 and 218,565 is: 347,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,403 : 218,565 = 218,565 : x
  2. Step 2: Convert to fraction form
    137,403/218,565 = 218,565/x
  3. Step 3: Cross multiply
    137,403x = 218,565 × 218,565
  4. Step 4: Simplify right side
    137,403x = 47,770,659,225
  5. Step 5: Solve for x
    x = 47,770,659,225/137,403
  6. Step 6: Final answer
    x = 347,668.24

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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.