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Finding the Third Proportional to 112,982 and 250,753

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Solution

The third proportional to 112,982 and 250,753 is: 556,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,982 : 250,753 = 250,753 : x
  2. Step 2: Convert to fraction form
    112,982/250,753 = 250,753/x
  3. Step 3: Cross multiply
    112,982x = 250,753 × 250,753
  4. Step 4: Simplify right side
    112,982x = 62,877,067,009
  5. Step 5: Solve for x
    x = 62,877,067,009/112,982
  6. Step 6: Final answer
    x = 556,522.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.