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Finding the Third Proportional to 78,225 and 168,244

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Solution

The third proportional to 78,225 and 168,244 is: 361,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225 : 168,244 = 168,244 : x
  2. Step 2: Convert to fraction form
    78,225/168,244 = 168,244/x
  3. Step 3: Cross multiply
    78,225x = 168,244 × 168,244
  4. Step 4: Simplify right side
    78,225x = 28,306,043,536
  5. Step 5: Solve for x
    x = 28,306,043,536/78,225
  6. Step 6: Final answer
    x = 361,854.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.