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Finding the Third Proportional to 168,588 and 363,312

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Solution

The third proportional to 168,588 and 363,312 is: 782,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,588 : 363,312 = 363,312 : x
  2. Step 2: Convert to fraction form
    168,588/363,312 = 363,312/x
  3. Step 3: Cross multiply
    168,588x = 363,312 × 363,312
  4. Step 4: Simplify right side
    168,588x = 131,995,609,344
  5. Step 5: Solve for x
    x = 131,995,609,344/168,588
  6. Step 6: Final answer
    x = 782,947.83

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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.