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Finding the Third Proportional to 169,911 and 365,859

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Solution

The third proportional to 169,911 and 365,859 is: 787,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,911 : 365,859 = 365,859 : x
  2. Step 2: Convert to fraction form
    169,911/365,859 = 365,859/x
  3. Step 3: Cross multiply
    169,911x = 365,859 × 365,859
  4. Step 4: Simplify right side
    169,911x = 133,852,807,881
  5. Step 5: Solve for x
    x = 133,852,807,881/169,911
  6. Step 6: Final answer
    x = 787,781.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.