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Finding the Third Proportional to 112,436 and 240,811

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Solution

The third proportional to 112,436 and 240,811 is: 515,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,436 : 240,811 = 240,811 : x
  2. Step 2: Convert to fraction form
    112,436/240,811 = 240,811/x
  3. Step 3: Cross multiply
    112,436x = 240,811 × 240,811
  4. Step 4: Simplify right side
    112,436x = 57,989,937,721
  5. Step 5: Solve for x
    x = 57,989,937,721/112,436
  6. Step 6: Final answer
    x = 515,759.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.