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Finding the Third Proportional to 208,010.25 and 425,877.75

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Solution

The third proportional to 208,010.25 and 425,877.75 is: 871,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.25 : 425,877.75 = 425,877.75 : x
  2. Step 2: Convert to fraction form
    208,010.25/425,877.75 = 425,877.75/x
  3. Step 3: Cross multiply
    208,010.25x = 425,877.75 × 425,877.75
  4. Step 4: Simplify right side
    208,010.25x = 181,371,857,945.06
  5. Step 5: Solve for x
    x = 181,371,857,945.06/208,010.25
  6. Step 6: Final answer
    x = 871,937.12

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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.