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Finding the Third Proportional to 161,832 and 344,076

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Solution

The third proportional to 161,832 and 344,076 is: 731,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,832 : 344,076 = 344,076 : x
  2. Step 2: Convert to fraction form
    161,832/344,076 = 344,076/x
  3. Step 3: Cross multiply
    161,832x = 344,076 × 344,076
  4. Step 4: Simplify right side
    161,832x = 118,388,293,776
  5. Step 5: Solve for x
    x = 118,388,293,776/161,832
  6. Step 6: Final answer
    x = 731,550.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.