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Finding the Third Proportional to 168,588 and 369,374

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Solution

The third proportional to 168,588 and 369,374 is: 809,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,588 : 369,374 = 369,374 : x
  2. Step 2: Convert to fraction form
    168,588/369,374 = 369,374/x
  3. Step 3: Cross multiply
    168,588x = 369,374 × 369,374
  4. Step 4: Simplify right side
    168,588x = 136,437,151,876
  5. Step 5: Solve for x
    x = 136,437,151,876/168,588
  6. Step 6: Final answer
    x = 809,293.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.