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Finding the Third Proportional to 112,560 and 240,186

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Solution

The third proportional to 112,560 and 240,186 is: 512,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,560 : 240,186 = 240,186 : x
  2. Step 2: Convert to fraction form
    112,560/240,186 = 240,186/x
  3. Step 3: Cross multiply
    112,560x = 240,186 × 240,186
  4. Step 4: Simplify right side
    112,560x = 57,689,314,596
  5. Step 5: Solve for x
    x = 57,689,314,596/112,560
  6. Step 6: Final answer
    x = 512,520.56

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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.