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Finding the Third Proportional to 110,768 and 240,232

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Solution

The third proportional to 110,768 and 240,232 is: 521,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,768 : 240,232 = 240,232 : x
  2. Step 2: Convert to fraction form
    110,768/240,232 = 240,232/x
  3. Step 3: Cross multiply
    110,768x = 240,232 × 240,232
  4. Step 4: Simplify right side
    110,768x = 57,711,413,824
  5. Step 5: Solve for x
    x = 57,711,413,824/110,768
  6. Step 6: Final answer
    x = 521,011.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.