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Finding the Third Proportional to 160,062 and 343,452

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Solution

The third proportional to 160,062 and 343,452 is: 736,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,062 : 343,452 = 343,452 : x
  2. Step 2: Convert to fraction form
    160,062/343,452 = 343,452/x
  3. Step 3: Cross multiply
    160,062x = 343,452 × 343,452
  4. Step 4: Simplify right side
    160,062x = 117,959,276,304
  5. Step 5: Solve for x
    x = 117,959,276,304/160,062
  6. Step 6: Final answer
    x = 736,959.90

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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.