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Finding the Third Proportional to 175,805 and 272,052

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Solution

The third proportional to 175,805 and 272,052 is: 420,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,805 : 272,052 = 272,052 : x
  2. Step 2: Convert to fraction form
    175,805/272,052 = 272,052/x
  3. Step 3: Cross multiply
    175,805x = 272,052 × 272,052
  4. Step 4: Simplify right side
    175,805x = 74,012,290,704
  5. Step 5: Solve for x
    x = 74,012,290,704/175,805
  6. Step 6: Final answer
    x = 420,990.82

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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.