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Finding the Third Proportional to 168,022.69 and 266,183.72

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Solution

The third proportional to 168,022.69 and 266,183.72 is: 421,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,022.69 : 266,183.72 = 266,183.72 : x
  2. Step 2: Convert to fraction form
    168,022.69/266,183.72 = 266,183.72/x
  3. Step 3: Cross multiply
    168,022.69x = 266,183.72 × 266,183.72
  4. Step 4: Simplify right side
    168,022.69x = 70,853,772,127.58
  5. Step 5: Solve for x
    x = 70,853,772,127.58/168,022.69
  6. Step 6: Final answer
    x = 421,691.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.