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Finding the Third Proportional to 169,686 and 365,598

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Solution

The third proportional to 169,686 and 365,598 is: 787,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,686 : 365,598 = 365,598 : x
  2. Step 2: Convert to fraction form
    169,686/365,598 = 365,598/x
  3. Step 3: Cross multiply
    169,686x = 365,598 × 365,598
  4. Step 4: Simplify right side
    169,686x = 133,661,897,604
  5. Step 5: Solve for x
    x = 133,661,897,604/169,686
  6. Step 6: Final answer
    x = 787,701.39

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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.