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Finding the Third Proportional to 173,216 and 274,620

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Solution

The third proportional to 173,216 and 274,620 is: 435,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,216 : 274,620 = 274,620 : x
  2. Step 2: Convert to fraction form
    173,216/274,620 = 274,620/x
  3. Step 3: Cross multiply
    173,216x = 274,620 × 274,620
  4. Step 4: Simplify right side
    173,216x = 75,416,144,400
  5. Step 5: Solve for x
    x = 75,416,144,400/173,216
  6. Step 6: Final answer
    x = 435,387.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.