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Finding the Third Proportional to 160,074 and 343,474

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Solution

The third proportional to 160,074 and 343,474 is: 736,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,074 : 343,474 = 343,474 : x
  2. Step 2: Convert to fraction form
    160,074/343,474 = 343,474/x
  3. Step 3: Cross multiply
    160,074x = 343,474 × 343,474
  4. Step 4: Simplify right side
    160,074x = 117,974,388,676
  5. Step 5: Solve for x
    x = 117,974,388,676/160,074
  6. Step 6: Final answer
    x = 736,999.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.