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Finding the Third Proportional to 110,780 and 240,352

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Solution

The third proportional to 110,780 and 240,352 is: 521,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,780 : 240,352 = 240,352 : x
  2. Step 2: Convert to fraction form
    110,780/240,352 = 240,352/x
  3. Step 3: Cross multiply
    110,780x = 240,352 × 240,352
  4. Step 4: Simplify right side
    110,780x = 57,769,083,904
  5. Step 5: Solve for x
    x = 57,769,083,904/110,780
  6. Step 6: Final answer
    x = 521,475.75

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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.