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Finding the Third Proportional to 169,403 and 368,329

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Solution

The third proportional to 169,403 and 368,329 is: 800,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,403 : 368,329 = 368,329 : x
  2. Step 2: Convert to fraction form
    169,403/368,329 = 368,329/x
  3. Step 3: Cross multiply
    169,403x = 368,329 × 368,329
  4. Step 4: Simplify right side
    169,403x = 135,666,252,241
  5. Step 5: Solve for x
    x = 135,666,252,241/169,403
  6. Step 6: Final answer
    x = 800,849.17

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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.