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Finding the Third Proportional to 169,443 and 366,781

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Solution

The third proportional to 169,443 and 366,781 is: 793,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,443 : 366,781 = 366,781 : x
  2. Step 2: Convert to fraction form
    169,443/366,781 = 366,781/x
  3. Step 3: Cross multiply
    169,443x = 366,781 × 366,781
  4. Step 4: Simplify right side
    169,443x = 134,528,301,961
  5. Step 5: Solve for x
    x = 134,528,301,961/169,443
  6. Step 6: Final answer
    x = 793,944.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.