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Finding the Third Proportional to 169,764 and 367,092

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Solution

The third proportional to 169,764 and 367,092 is: 793,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,764 : 367,092 = 367,092 : x
  2. Step 2: Convert to fraction form
    169,764/367,092 = 367,092/x
  3. Step 3: Cross multiply
    169,764x = 367,092 × 367,092
  4. Step 4: Simplify right side
    169,764x = 134,756,536,464
  5. Step 5: Solve for x
    x = 134,756,536,464/169,764
  6. Step 6: Final answer
    x = 793,787.47

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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.