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Finding the Third Proportional to 161,208 and 344,592

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Solution

The third proportional to 161,208 and 344,592 is: 736,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,208 : 344,592 = 344,592 : x
  2. Step 2: Convert to fraction form
    161,208/344,592 = 344,592/x
  3. Step 3: Cross multiply
    161,208x = 344,592 × 344,592
  4. Step 4: Simplify right side
    161,208x = 118,743,646,464
  5. Step 5: Solve for x
    x = 118,743,646,464/161,208
  6. Step 6: Final answer
    x = 736,586.56

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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.