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Finding the Third Proportional to 112,519 and 240,589

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Solution

The third proportional to 112,519 and 240,589 is: 514,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,519 : 240,589 = 240,589 : x
  2. Step 2: Convert to fraction form
    112,519/240,589 = 240,589/x
  3. Step 3: Cross multiply
    112,519x = 240,589 × 240,589
  4. Step 4: Simplify right side
    112,519x = 57,883,066,921
  5. Step 5: Solve for x
    x = 57,883,066,921/112,519
  6. Step 6: Final answer
    x = 514,429.27

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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.