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Finding the Third Proportional to 168,666.75 and 362,343.38

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Solution

The third proportional to 168,666.75 and 362,343.38 is: 778,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,666.75 : 362,343.38 = 362,343.38 : x
  2. Step 2: Convert to fraction form
    168,666.75/362,343.38 = 362,343.38/x
  3. Step 3: Cross multiply
    168,666.75x = 362,343.38 × 362,343.38
  4. Step 4: Simplify right side
    168,666.75x = 131,292,721,406.39
  5. Step 5: Solve for x
    x = 131,292,721,406.39/168,666.75
  6. Step 6: Final answer
    x = 778,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.