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Finding the Third Proportional to 175,872 and 272,732

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Solution

The third proportional to 175,872 and 272,732 is: 422,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,872 : 272,732 = 272,732 : x
  2. Step 2: Convert to fraction form
    175,872/272,732 = 272,732/x
  3. Step 3: Cross multiply
    175,872x = 272,732 × 272,732
  4. Step 4: Simplify right side
    175,872x = 74,382,743,824
  5. Step 5: Solve for x
    x = 74,382,743,824/175,872
  6. Step 6: Final answer
    x = 422,936.82

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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.