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Finding the Third Proportional to 111,706 and 240,902

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Solution

The third proportional to 111,706 and 240,902 is: 519,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706 : 240,902 = 240,902 : x
  2. Step 2: Convert to fraction form
    111,706/240,902 = 240,902/x
  3. Step 3: Cross multiply
    111,706x = 240,902 × 240,902
  4. Step 4: Simplify right side
    111,706x = 58,033,773,604
  5. Step 5: Solve for x
    x = 58,033,773,604/111,706
  6. Step 6: Final answer
    x = 519,522.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.