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Finding the Third Proportional to 121,432 and 247,676

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Solution

The third proportional to 121,432 and 247,676 is: 505,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,432 : 247,676 = 247,676 : x
  2. Step 2: Convert to fraction form
    121,432/247,676 = 247,676/x
  3. Step 3: Cross multiply
    121,432x = 247,676 × 247,676
  4. Step 4: Simplify right side
    121,432x = 61,343,400,976
  5. Step 5: Solve for x
    x = 61,343,400,976/121,432
  6. Step 6: Final answer
    x = 505,166.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.