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Finding the Third Proportional to 120,917.18 and 262,542.52

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Solution

The third proportional to 120,917.18 and 262,542.52 is: 570,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,917.18 : 262,542.52 = 262,542.52 : x
  2. Step 2: Convert to fraction form
    120,917.18/262,542.52 = 262,542.52/x
  3. Step 3: Cross multiply
    120,917.18x = 262,542.52 × 262,542.52
  4. Step 4: Simplify right side
    120,917.18x = 68,928,572,510.70
  5. Step 5: Solve for x
    x = 68,928,572,510.70/120,917.18
  6. Step 6: Final answer
    x = 570,047.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.