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Finding the Third Proportional to 160,282 and 342,800

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Solution

The third proportional to 160,282 and 342,800 is: 733,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,282 : 342,800 = 342,800 : x
  2. Step 2: Convert to fraction form
    160,282/342,800 = 342,800/x
  3. Step 3: Cross multiply
    160,282x = 342,800 × 342,800
  4. Step 4: Simplify right side
    160,282x = 117,511,840,000
  5. Step 5: Solve for x
    x = 117,511,840,000/160,282
  6. Step 6: Final answer
    x = 733,156.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.