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Finding the Third Proportional to 175,216 and 274,491

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Solution

The third proportional to 175,216 and 274,491 is: 430,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216 : 274,491 = 274,491 : x
  2. Step 2: Convert to fraction form
    175,216/274,491 = 274,491/x
  3. Step 3: Cross multiply
    175,216x = 274,491 × 274,491
  4. Step 4: Simplify right side
    175,216x = 75,345,309,081
  5. Step 5: Solve for x
    x = 75,345,309,081/175,216
  6. Step 6: Final answer
    x = 430,013.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.