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Finding the Third Proportional to 94,544 and 201,744

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Solution

The third proportional to 94,544 and 201,744 is: 430,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,544 : 201,744 = 201,744 : x
  2. Step 2: Convert to fraction form
    94,544/201,744 = 201,744/x
  3. Step 3: Cross multiply
    94,544x = 201,744 × 201,744
  4. Step 4: Simplify right side
    94,544x = 40,700,641,536
  5. Step 5: Solve for x
    x = 40,700,641,536/94,544
  6. Step 6: Final answer
    x = 430,494.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.