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Finding the Third Proportional to 79,400 and 171,264

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Solution

The third proportional to 79,400 and 171,264 is: 369,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,400 : 171,264 = 171,264 : x
  2. Step 2: Convert to fraction form
    79,400/171,264 = 171,264/x
  3. Step 3: Cross multiply
    79,400x = 171,264 × 171,264
  4. Step 4: Simplify right side
    79,400x = 29,331,357,696
  5. Step 5: Solve for x
    x = 29,331,357,696/79,400
  6. Step 6: Final answer
    x = 369,412.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.