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Finding the Third Proportional to 79,504 and 168,484

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Solution

The third proportional to 79,504 and 168,484 is: 357,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,504 : 168,484 = 168,484 : x
  2. Step 2: Convert to fraction form
    79,504/168,484 = 168,484/x
  3. Step 3: Cross multiply
    79,504x = 168,484 × 168,484
  4. Step 4: Simplify right side
    79,504x = 28,386,858,256
  5. Step 5: Solve for x
    x = 28,386,858,256/79,504
  6. Step 6: Final answer
    x = 357,049.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.