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Finding the Third Proportional to 83,259 and 178,416

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Solution

The third proportional to 83,259 and 178,416 is: 382,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,259 : 178,416 = 178,416 : x
  2. Step 2: Convert to fraction form
    83,259/178,416 = 178,416/x
  3. Step 3: Cross multiply
    83,259x = 178,416 × 178,416
  4. Step 4: Simplify right side
    83,259x = 31,832,269,056
  5. Step 5: Solve for x
    x = 31,832,269,056/83,259
  6. Step 6: Final answer
    x = 382,328.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.