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Finding the Third Proportional to 80,516 and 173,432

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Solution

The third proportional to 80,516 and 173,432 is: 373,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516 : 173,432 = 173,432 : x
  2. Step 2: Convert to fraction form
    80,516/173,432 = 173,432/x
  3. Step 3: Cross multiply
    80,516x = 173,432 × 173,432
  4. Step 4: Simplify right side
    80,516x = 30,078,658,624
  5. Step 5: Solve for x
    x = 30,078,658,624/80,516
  6. Step 6: Final answer
    x = 373,573.68

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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.