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Finding the Third Proportional to 121,332.94 and 260,227.69

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Solution

The third proportional to 121,332.94 and 260,227.69 is: 558,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,332.94 : 260,227.69 = 260,227.69 : x
  2. Step 2: Convert to fraction form
    121,332.94/260,227.69 = 260,227.69/x
  3. Step 3: Cross multiply
    121,332.94x = 260,227.69 × 260,227.69
  4. Step 4: Simplify right side
    121,332.94x = 67,718,449,341.60
  5. Step 5: Solve for x
    x = 67,718,449,341.60/121,332.94
  6. Step 6: Final answer
    x = 558,120.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.