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Finding the Third Proportional to 175,448 and 272,163

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Solution

The third proportional to 175,448 and 272,163 is: 422,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,448 : 272,163 = 272,163 : x
  2. Step 2: Convert to fraction form
    175,448/272,163 = 272,163/x
  3. Step 3: Cross multiply
    175,448x = 272,163 × 272,163
  4. Step 4: Simplify right side
    175,448x = 74,072,698,569
  5. Step 5: Solve for x
    x = 74,072,698,569/175,448
  6. Step 6: Final answer
    x = 422,191.75

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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.