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Finding the Third Proportional to 112,227.38 and 242,259.38

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Solution

The third proportional to 112,227.38 and 242,259.38 is: 522,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,227.38 : 242,259.38 = 242,259.38 : x
  2. Step 2: Convert to fraction form
    112,227.38/242,259.38 = 242,259.38/x
  3. Step 3: Cross multiply
    112,227.38x = 242,259.38 × 242,259.38
  4. Step 4: Simplify right side
    112,227.38x = 58,689,604,775.39
  5. Step 5: Solve for x
    x = 58,689,604,775.39/112,227.38
  6. Step 6: Final answer
    x = 522,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.