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Finding the Third Proportional to 115,456 and 180,474

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Solution

The third proportional to 115,456 and 180,474 is: 282,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456 : 180,474 = 180,474 : x
  2. Step 2: Convert to fraction form
    115,456/180,474 = 180,474/x
  3. Step 3: Cross multiply
    115,456x = 180,474 × 180,474
  4. Step 4: Simplify right side
    115,456x = 32,570,864,676
  5. Step 5: Solve for x
    x = 32,570,864,676/115,456
  6. Step 6: Final answer
    x = 282,106.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.