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Finding the Third Proportional to 160,277 and 342,789

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Solution

The third proportional to 160,277 and 342,789 is: 733,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,277 : 342,789 = 342,789 : x
  2. Step 2: Convert to fraction form
    160,277/342,789 = 342,789/x
  3. Step 3: Cross multiply
    160,277x = 342,789 × 342,789
  4. Step 4: Simplify right side
    160,277x = 117,504,298,521
  5. Step 5: Solve for x
    x = 117,504,298,521/160,277
  6. Step 6: Final answer
    x = 733,132.63

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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.