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Finding the Third Proportional to 161,384 and 344,936

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Solution

The third proportional to 161,384 and 344,936 is: 737,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,384 : 344,936 = 344,936 : x
  2. Step 2: Convert to fraction form
    161,384/344,936 = 344,936/x
  3. Step 3: Cross multiply
    161,384x = 344,936 × 344,936
  4. Step 4: Simplify right side
    161,384x = 118,980,844,096
  5. Step 5: Solve for x
    x = 118,980,844,096/161,384
  6. Step 6: Final answer
    x = 737,253.04

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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.