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Finding the Third Proportional to 192,756.38 and 417,690.56

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Solution

The third proportional to 192,756.38 and 417,690.56 is: 905,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,756.38 : 417,690.56 = 417,690.56 : x
  2. Step 2: Convert to fraction form
    192,756.38/417,690.56 = 417,690.56/x
  3. Step 3: Cross multiply
    192,756.38x = 417,690.56 × 417,690.56
  4. Step 4: Simplify right side
    192,756.38x = 174,465,406,001.57
  5. Step 5: Solve for x
    x = 174,465,406,001.57/192,756.38
  6. Step 6: Final answer
    x = 905,108.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.