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Finding the Third Proportional to 208,018 and 425,892

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Solution

The third proportional to 208,018 and 425,892 is: 871,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,018 : 425,892 = 425,892 : x
  2. Step 2: Convert to fraction form
    208,018/425,892 = 425,892/x
  3. Step 3: Cross multiply
    208,018x = 425,892 × 425,892
  4. Step 4: Simplify right side
    208,018x = 181,383,995,664
  5. Step 5: Solve for x
    x = 181,383,995,664/208,018
  6. Step 6: Final answer
    x = 871,962.98

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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.