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Finding the Third Proportional to 80,330 and 174,486

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Solution

The third proportional to 80,330 and 174,486 is: 379,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,330 : 174,486 = 174,486 : x
  2. Step 2: Convert to fraction form
    80,330/174,486 = 174,486/x
  3. Step 3: Cross multiply
    80,330x = 174,486 × 174,486
  4. Step 4: Simplify right side
    80,330x = 30,445,364,196
  5. Step 5: Solve for x
    x = 30,445,364,196/80,330
  6. Step 6: Final answer
    x = 379,003.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.