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Finding the Third Proportional to 110,356 and 240,760

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Solution

The third proportional to 110,356 and 240,760 is: 525,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356 : 240,760 = 240,760 : x
  2. Step 2: Convert to fraction form
    110,356/240,760 = 240,760/x
  3. Step 3: Cross multiply
    110,356x = 240,760 × 240,760
  4. Step 4: Simplify right side
    110,356x = 57,965,377,600
  5. Step 5: Solve for x
    x = 57,965,377,600/110,356
  6. Step 6: Final answer
    x = 525,258.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.