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Finding the Third Proportional to 108,500 and 240,220

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Solution

The third proportional to 108,500 and 240,220 is: 531,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,500 : 240,220 = 240,220 : x
  2. Step 2: Convert to fraction form
    108,500/240,220 = 240,220/x
  3. Step 3: Cross multiply
    108,500x = 240,220 × 240,220
  4. Step 4: Simplify right side
    108,500x = 57,705,648,400
  5. Step 5: Solve for x
    x = 57,705,648,400/108,500
  6. Step 6: Final answer
    x = 531,849.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.