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Finding the Third Proportional to 208,016 and 425,888

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Solution

The third proportional to 208,016 and 425,888 is: 871,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016 : 425,888 = 425,888 : x
  2. Step 2: Convert to fraction form
    208,016/425,888 = 425,888/x
  3. Step 3: Cross multiply
    208,016x = 425,888 × 425,888
  4. Step 4: Simplify right side
    208,016x = 181,380,588,544
  5. Step 5: Solve for x
    x = 181,380,588,544/208,016
  6. Step 6: Final answer
    x = 871,954.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.