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Finding the Third Proportional to 169,383 and 363,217

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Solution

The third proportional to 169,383 and 363,217 is: 778,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,383 : 363,217 = 363,217 : x
  2. Step 2: Convert to fraction form
    169,383/363,217 = 363,217/x
  3. Step 3: Cross multiply
    169,383x = 363,217 × 363,217
  4. Step 4: Simplify right side
    169,383x = 131,926,589,089
  5. Step 5: Solve for x
    x = 131,926,589,089/169,383
  6. Step 6: Final answer
    x = 778,865.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.