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Finding the Third Proportional to 121,274 and 247,480

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Solution

The third proportional to 121,274 and 247,480 is: 505,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,274 : 247,480 = 247,480 : x
  2. Step 2: Convert to fraction form
    121,274/247,480 = 247,480/x
  3. Step 3: Cross multiply
    121,274x = 247,480 × 247,480
  4. Step 4: Simplify right side
    121,274x = 61,246,350,400
  5. Step 5: Solve for x
    x = 61,246,350,400/121,274
  6. Step 6: Final answer
    x = 505,024.58

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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.