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Finding the Third Proportional to 121,077.28 and 263,952.84

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Solution

The third proportional to 121,077.28 and 263,952.84 is: 575,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,077.28 : 263,952.84 = 263,952.84 : x
  2. Step 2: Convert to fraction form
    121,077.28/263,952.84 = 263,952.84/x
  3. Step 3: Cross multiply
    121,077.28x = 263,952.84 × 263,952.84
  4. Step 4: Simplify right side
    121,077.28x = 69,671,103,723.71
  5. Step 5: Solve for x
    x = 69,671,103,723.71/121,077.28
  6. Step 6: Final answer
    x = 575,426.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.