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Finding the Third Proportional to 112,558 and 240,182

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Solution

The third proportional to 112,558 and 240,182 is: 512,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,558 : 240,182 = 240,182 : x
  2. Step 2: Convert to fraction form
    112,558/240,182 = 240,182/x
  3. Step 3: Cross multiply
    112,558x = 240,182 × 240,182
  4. Step 4: Simplify right side
    112,558x = 57,687,393,124
  5. Step 5: Solve for x
    x = 57,687,393,124/112,558
  6. Step 6: Final answer
    x = 512,512.60

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Why These Related Problems?

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