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Finding the Third Proportional to 112,806 and 240,836.63

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Solution

The third proportional to 112,806 and 240,836.63 is: 514,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806 : 240,836.63 = 240,836.63 : x
  2. Step 2: Convert to fraction form
    112,806/240,836.63 = 240,836.63/x
  3. Step 3: Cross multiply
    112,806x = 240,836.63 × 240,836.63
  4. Step 4: Simplify right side
    112,806x = 58,002,279,941.39
  5. Step 5: Solve for x
    x = 58,002,279,941.39/112,806
  6. Step 6: Final answer
    x = 514,177.26

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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.