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Finding the Third Proportional to 208,010 and 425,877

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Solution

The third proportional to 208,010 and 425,877 is: 871,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010 : 425,877 = 425,877 : x
  2. Step 2: Convert to fraction form
    208,010/425,877 = 425,877/x
  3. Step 3: Cross multiply
    208,010x = 425,877 × 425,877
  4. Step 4: Simplify right side
    208,010x = 181,371,219,129
  5. Step 5: Solve for x
    x = 181,371,219,129/208,010
  6. Step 6: Final answer
    x = 871,935.10

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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.