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Finding the Third Proportional to 115,792 and 240,800

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Solution

The third proportional to 115,792 and 240,800 is: 500,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,792 : 240,800 = 240,800 : x
  2. Step 2: Convert to fraction form
    115,792/240,800 = 240,800/x
  3. Step 3: Cross multiply
    115,792x = 240,800 × 240,800
  4. Step 4: Simplify right side
    115,792x = 57,984,640,000
  5. Step 5: Solve for x
    x = 57,984,640,000/115,792
  6. Step 6: Final answer
    x = 500,765.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.