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Finding the Third Proportional to 112,357 and 240,266

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Solution

The third proportional to 112,357 and 240,266 is: 513,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,357 : 240,266 = 240,266 : x
  2. Step 2: Convert to fraction form
    112,357/240,266 = 240,266/x
  3. Step 3: Cross multiply
    112,357x = 240,266 × 240,266
  4. Step 4: Simplify right side
    112,357x = 57,727,750,756
  5. Step 5: Solve for x
    x = 57,727,750,756/112,357
  6. Step 6: Final answer
    x = 513,788.64

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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.