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Finding the Third Proportional to 175,491 and 272,234.25

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Solution

The third proportional to 175,491 and 272,234.25 is: 422,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,491 : 272,234.25 = 272,234.25 : x
  2. Step 2: Convert to fraction form
    175,491/272,234.25 = 272,234.25/x
  3. Step 3: Cross multiply
    175,491x = 272,234.25 × 272,234.25
  4. Step 4: Simplify right side
    175,491x = 74,111,486,873.06
  5. Step 5: Solve for x
    x = 74,111,486,873.06/175,491
  6. Step 6: Final answer
    x = 422,309.33

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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.