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Finding the Third Proportional to 175,872 and 272,796

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Solution

The third proportional to 175,872 and 272,796 is: 423,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,872 : 272,796 = 272,796 : x
  2. Step 2: Convert to fraction form
    175,872/272,796 = 272,796/x
  3. Step 3: Cross multiply
    175,872x = 272,796 × 272,796
  4. Step 4: Simplify right side
    175,872x = 74,417,657,616
  5. Step 5: Solve for x
    x = 74,417,657,616/175,872
  6. Step 6: Final answer
    x = 423,135.33

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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.