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Finding the Third Proportional to 194,324 and 285,928

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Solution

The third proportional to 194,324 and 285,928 is: 420,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,324 : 285,928 = 285,928 : x
  2. Step 2: Convert to fraction form
    194,324/285,928 = 285,928/x
  3. Step 3: Cross multiply
    194,324x = 285,928 × 285,928
  4. Step 4: Simplify right side
    194,324x = 81,754,821,184
  5. Step 5: Solve for x
    x = 81,754,821,184/194,324
  6. Step 6: Final answer
    x = 420,713.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.