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Finding the Third Proportional to 175,756 and 272,380

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Solution

The third proportional to 175,756 and 272,380 is: 422,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,756 : 272,380 = 272,380 : x
  2. Step 2: Convert to fraction form
    175,756/272,380 = 272,380/x
  3. Step 3: Cross multiply
    175,756x = 272,380 × 272,380
  4. Step 4: Simplify right side
    175,756x = 74,190,864,400
  5. Step 5: Solve for x
    x = 74,190,864,400/175,756
  6. Step 6: Final answer
    x = 422,124.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.