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Finding the Third Proportional to 102,233 and 156,918

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Solution

The third proportional to 102,233 and 156,918 is: 240,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233 : 156,918 = 156,918 : x
  2. Step 2: Convert to fraction form
    102,233/156,918 = 156,918/x
  3. Step 3: Cross multiply
    102,233x = 156,918 × 156,918
  4. Step 4: Simplify right side
    102,233x = 24,623,258,724
  5. Step 5: Solve for x
    x = 24,623,258,724/102,233
  6. Step 6: Final answer
    x = 240,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.