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Finding the Third Proportional to 168,136.88 and 363,747.38

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Solution

The third proportional to 168,136.88 and 363,747.38 is: 786,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,136.88 : 363,747.38 = 363,747.38 : x
  2. Step 2: Convert to fraction form
    168,136.88/363,747.38 = 363,747.38/x
  3. Step 3: Cross multiply
    168,136.88x = 363,747.38 × 363,747.38
  4. Step 4: Simplify right side
    168,136.88x = 132,312,152,819.39
  5. Step 5: Solve for x
    x = 132,312,152,819.39/168,136.88
  6. Step 6: Final answer
    x = 786,931.20

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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.