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Finding the Third Proportional to 169,682 and 365,590

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Solution

The third proportional to 169,682 and 365,590 is: 787,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,682 : 365,590 = 365,590 : x
  2. Step 2: Convert to fraction form
    169,682/365,590 = 365,590/x
  3. Step 3: Cross multiply
    169,682x = 365,590 × 365,590
  4. Step 4: Simplify right side
    169,682x = 133,656,048,100
  5. Step 5: Solve for x
    x = 133,656,048,100/169,682
  6. Step 6: Final answer
    x = 787,685.48

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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.