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Finding the Third Proportional to 169,092 and 366,364

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Solution

The third proportional to 169,092 and 366,364 is: 793,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,092 : 366,364 = 366,364 : x
  2. Step 2: Convert to fraction form
    169,092/366,364 = 366,364/x
  3. Step 3: Cross multiply
    169,092x = 366,364 × 366,364
  4. Step 4: Simplify right side
    169,092x = 134,222,580,496
  5. Step 5: Solve for x
    x = 134,222,580,496/169,092
  6. Step 6: Final answer
    x = 793,784.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.