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Finding the Third Proportional to 79,532 and 173,808

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Solution

The third proportional to 79,532 and 173,808 is: 379,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,532 : 173,808 = 173,808 : x
  2. Step 2: Convert to fraction form
    79,532/173,808 = 173,808/x
  3. Step 3: Cross multiply
    79,532x = 173,808 × 173,808
  4. Step 4: Simplify right side
    79,532x = 30,209,220,864
  5. Step 5: Solve for x
    x = 30,209,220,864/79,532
  6. Step 6: Final answer
    x = 379,837.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.