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Finding the Third Proportional to 118,350 and 254,745

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Solution

The third proportional to 118,350 and 254,745 is: 548,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,350 : 254,745 = 254,745 : x
  2. Step 2: Convert to fraction form
    118,350/254,745 = 254,745/x
  3. Step 3: Cross multiply
    118,350x = 254,745 × 254,745
  4. Step 4: Simplify right side
    118,350x = 64,895,015,025
  5. Step 5: Solve for x
    x = 64,895,015,025/118,350
  6. Step 6: Final answer
    x = 548,331.35

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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.