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Finding the Third Proportional to 79,400 and 174,357

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Solution

The third proportional to 79,400 and 174,357 is: 382,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,400 : 174,357 = 174,357 : x
  2. Step 2: Convert to fraction form
    79,400/174,357 = 174,357/x
  3. Step 3: Cross multiply
    79,400x = 174,357 × 174,357
  4. Step 4: Simplify right side
    79,400x = 30,400,363,449
  5. Step 5: Solve for x
    x = 30,400,363,449/79,400
  6. Step 6: Final answer
    x = 382,876.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.