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Finding the Third Proportional to 160,834 and 351,476

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Solution

The third proportional to 160,834 and 351,476 is: 768,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,834 : 351,476 = 351,476 : x
  2. Step 2: Convert to fraction form
    160,834/351,476 = 351,476/x
  3. Step 3: Cross multiply
    160,834x = 351,476 × 351,476
  4. Step 4: Simplify right side
    160,834x = 123,535,378,576
  5. Step 5: Solve for x
    x = 123,535,378,576/160,834
  6. Step 6: Final answer
    x = 768,092.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.