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Finding the Third Proportional to 80,532 and 173,464

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Solution

The third proportional to 80,532 and 173,464 is: 373,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,532 : 173,464 = 173,464 : x
  2. Step 2: Convert to fraction form
    80,532/173,464 = 173,464/x
  3. Step 3: Cross multiply
    80,532x = 173,464 × 173,464
  4. Step 4: Simplify right side
    80,532x = 30,089,759,296
  5. Step 5: Solve for x
    x = 30,089,759,296/80,532
  6. Step 6: Final answer
    x = 373,637.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.