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Finding the Third Proportional to 161,824 and 344,060

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Solution

The third proportional to 161,824 and 344,060 is: 731,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824 : 344,060 = 344,060 : x
  2. Step 2: Convert to fraction form
    161,824/344,060 = 344,060/x
  3. Step 3: Cross multiply
    161,824x = 344,060 × 344,060
  4. Step 4: Simplify right side
    161,824x = 118,377,283,600
  5. Step 5: Solve for x
    x = 118,377,283,600/161,824
  6. Step 6: Final answer
    x = 731,518.71

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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.