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Finding the Third Proportional to 112,435 and 240,809

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Solution

The third proportional to 112,435 and 240,809 is: 515,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,435 : 240,809 = 240,809 : x
  2. Step 2: Convert to fraction form
    112,435/240,809 = 240,809/x
  3. Step 3: Cross multiply
    112,435x = 240,809 × 240,809
  4. Step 4: Simplify right side
    112,435x = 57,988,974,481
  5. Step 5: Solve for x
    x = 57,988,974,481/112,435
  6. Step 6: Final answer
    x = 515,755.54

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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.