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Finding the Third Proportional to 171,666 and 373,832

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Solution

The third proportional to 171,666 and 373,832 is: 814,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,666 : 373,832 = 373,832 : x
  2. Step 2: Convert to fraction form
    171,666/373,832 = 373,832/x
  3. Step 3: Cross multiply
    171,666x = 373,832 × 373,832
  4. Step 4: Simplify right side
    171,666x = 139,750,364,224
  5. Step 5: Solve for x
    x = 139,750,364,224/171,666
  6. Step 6: Final answer
    x = 814,082.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.