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Finding the Third Proportional to 201,223 and 425,739

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Solution

The third proportional to 201,223 and 425,739 is: 900,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,223 : 425,739 = 425,739 : x
  2. Step 2: Convert to fraction form
    201,223/425,739 = 425,739/x
  3. Step 3: Cross multiply
    201,223x = 425,739 × 425,739
  4. Step 4: Simplify right side
    201,223x = 181,253,696,121
  5. Step 5: Solve for x
    x = 181,253,696,121/201,223
  6. Step 6: Final answer
    x = 900,760.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.