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Finding the Third Proportional to 110,214 and 240,084

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Solution

The third proportional to 110,214 and 240,084 is: 522,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214 : 240,084 = 240,084 : x
  2. Step 2: Convert to fraction form
    110,214/240,084 = 240,084/x
  3. Step 3: Cross multiply
    110,214x = 240,084 × 240,084
  4. Step 4: Simplify right side
    110,214x = 57,640,327,056
  5. Step 5: Solve for x
    x = 57,640,327,056/110,214
  6. Step 6: Final answer
    x = 522,985.53

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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.