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Finding the Third Proportional to 112,550 and 240,166

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Solution

The third proportional to 112,550 and 240,166 is: 512,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,550 : 240,166 = 240,166 : x
  2. Step 2: Convert to fraction form
    112,550/240,166 = 240,166/x
  3. Step 3: Cross multiply
    112,550x = 240,166 × 240,166
  4. Step 4: Simplify right side
    112,550x = 57,679,707,556
  5. Step 5: Solve for x
    x = 57,679,707,556/112,550
  6. Step 6: Final answer
    x = 512,480.74

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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.