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Finding the Third Proportional to 192,926 and 417,928

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Solution

The third proportional to 192,926 and 417,928 is: 905,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,926 : 417,928 = 417,928 : x
  2. Step 2: Convert to fraction form
    192,926/417,928 = 417,928/x
  3. Step 3: Cross multiply
    192,926x = 417,928 × 417,928
  4. Step 4: Simplify right side
    192,926x = 174,663,813,184
  5. Step 5: Solve for x
    x = 174,663,813,184/192,926
  6. Step 6: Final answer
    x = 905,340.98

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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.