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Finding the Third Proportional to 180,720 and 271,080

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Solution

The third proportional to 180,720 and 271,080 is: 406,620

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,720 : 271,080 = 271,080 : x
  2. Step 2: Convert to fraction form
    180,720/271,080 = 271,080/x
  3. Step 3: Cross multiply
    180,720x = 271,080 × 271,080
  4. Step 4: Simplify right side
    180,720x = 73,484,366,400
  5. Step 5: Solve for x
    x = 73,484,366,400/180,720
  6. Step 6: Final answer
    x = 406,620

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.