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Finding the Third Proportional to 112,992.84 and 243,282.49

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Solution

The third proportional to 112,992.84 and 243,282.49 is: 523,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,992.84 : 243,282.49 = 243,282.49 : x
  2. Step 2: Convert to fraction form
    112,992.84/243,282.49 = 243,282.49/x
  3. Step 3: Cross multiply
    112,992.84x = 243,282.49 × 243,282.49
  4. Step 4: Simplify right side
    112,992.84x = 59,186,371,249.97
  5. Step 5: Solve for x
    x = 59,186,371,249.97/112,992.84
  6. Step 6: Final answer
    x = 523,806.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.