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Finding the Third Proportional to 160,278 and 342,791

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Solution

The third proportional to 160,278 and 342,791 is: 733,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,278 : 342,791 = 342,791 : x
  2. Step 2: Convert to fraction form
    160,278/342,791 = 342,791/x
  3. Step 3: Cross multiply
    160,278x = 342,791 × 342,791
  4. Step 4: Simplify right side
    160,278x = 117,505,669,681
  5. Step 5: Solve for x
    x = 117,505,669,681/160,278
  6. Step 6: Final answer
    x = 733,136.61

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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.