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Finding the Third Proportional to 121,671.28 and 262,062.84

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Solution

The third proportional to 121,671.28 and 262,062.84 is: 564,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,671.28 : 262,062.84 = 262,062.84 : x
  2. Step 2: Convert to fraction form
    121,671.28/262,062.84 = 262,062.84/x
  3. Step 3: Cross multiply
    121,671.28x = 262,062.84 × 262,062.84
  4. Step 4: Simplify right side
    121,671.28x = 68,676,934,074.34
  5. Step 5: Solve for x
    x = 68,676,934,074.34/121,671.28
  6. Step 6: Final answer
    x = 564,446.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.