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Finding the Third Proportional to 169,684 and 365,594

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Solution

The third proportional to 169,684 and 365,594 is: 787,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,684 : 365,594 = 365,594 : x
  2. Step 2: Convert to fraction form
    169,684/365,594 = 365,594/x
  3. Step 3: Cross multiply
    169,684x = 365,594 × 365,594
  4. Step 4: Simplify right side
    169,684x = 133,658,972,836
  5. Step 5: Solve for x
    x = 133,658,972,836/169,684
  6. Step 6: Final answer
    x = 787,693.44

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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.