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Finding the Third Proportional to 112,275 and 245,691

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Solution

The third proportional to 112,275 and 245,691 is: 537,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,275 : 245,691 = 245,691 : x
  2. Step 2: Convert to fraction form
    112,275/245,691 = 245,691/x
  3. Step 3: Cross multiply
    112,275x = 245,691 × 245,691
  4. Step 4: Simplify right side
    112,275x = 60,364,067,481
  5. Step 5: Solve for x
    x = 60,364,067,481/112,275
  6. Step 6: Final answer
    x = 537,644.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.