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Finding the Third Proportional to 223,468.88 and 286,922.25

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Solution

The third proportional to 223,468.88 and 286,922.25 is: 368,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,468.88 : 286,922.25 = 286,922.25 : x
  2. Step 2: Convert to fraction form
    223,468.88/286,922.25 = 286,922.25/x
  3. Step 3: Cross multiply
    223,468.88x = 286,922.25 × 286,922.25
  4. Step 4: Simplify right side
    223,468.88x = 82,324,377,545.06
  5. Step 5: Solve for x
    x = 82,324,377,545.06/223,468.88
  6. Step 6: Final answer
    x = 368,393.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.