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Finding the Third Proportional to 80,064 and 185,328

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Solution

The third proportional to 80,064 and 185,328 is: 428,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,064 : 185,328 = 185,328 : x
  2. Step 2: Convert to fraction form
    80,064/185,328 = 185,328/x
  3. Step 3: Cross multiply
    80,064x = 185,328 × 185,328
  4. Step 4: Simplify right side
    80,064x = 34,346,467,584
  5. Step 5: Solve for x
    x = 34,346,467,584/80,064
  6. Step 6: Final answer
    x = 428,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.