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Finding the Third Proportional to 111,257 and 240,001

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Solution

The third proportional to 111,257 and 240,001 is: 517,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,257 : 240,001 = 240,001 : x
  2. Step 2: Convert to fraction form
    111,257/240,001 = 240,001/x
  3. Step 3: Cross multiply
    111,257x = 240,001 × 240,001
  4. Step 4: Simplify right side
    111,257x = 57,600,480,001
  5. Step 5: Solve for x
    x = 57,600,480,001/111,257
  6. Step 6: Final answer
    x = 517,724.55

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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.