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Finding the Third Proportional to 180,624 and 274,536

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Solution

The third proportional to 180,624 and 274,536 is: 417,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624 : 274,536 = 274,536 : x
  2. Step 2: Convert to fraction form
    180,624/274,536 = 274,536/x
  3. Step 3: Cross multiply
    180,624x = 274,536 × 274,536
  4. Step 4: Simplify right side
    180,624x = 75,370,015,296
  5. Step 5: Solve for x
    x = 75,370,015,296/180,624
  6. Step 6: Final answer
    x = 417,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.