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Finding the Third Proportional to 94,324 and 204,727

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Solution

The third proportional to 94,324 and 204,727 is: 444,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,324 : 204,727 = 204,727 : x
  2. Step 2: Convert to fraction form
    94,324/204,727 = 204,727/x
  3. Step 3: Cross multiply
    94,324x = 204,727 × 204,727
  4. Step 4: Simplify right side
    94,324x = 41,913,144,529
  5. Step 5: Solve for x
    x = 41,913,144,529/94,324
  6. Step 6: Final answer
    x = 444,352.92

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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.