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Finding the Third Proportional to 112,800.38 and 240,822.56

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Solution

The third proportional to 112,800.38 and 240,822.56 is: 514,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,800.38 : 240,822.56 = 240,822.56 : x
  2. Step 2: Convert to fraction form
    112,800.38/240,822.56 = 240,822.56/x
  3. Step 3: Cross multiply
    112,800.38x = 240,822.56 × 240,822.56
  4. Step 4: Simplify right side
    112,800.38x = 57,995,506,609.07
  5. Step 5: Solve for x
    x = 57,995,506,609.07/112,800.38
  6. Step 6: Final answer
    x = 514,142.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.