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Finding the Third Proportional to 208,034 and 425,927

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Solution

The third proportional to 208,034 and 425,927 is: 872,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034 : 425,927 = 425,927 : x
  2. Step 2: Convert to fraction form
    208,034/425,927 = 425,927/x
  3. Step 3: Cross multiply
    208,034x = 425,927 × 425,927
  4. Step 4: Simplify right side
    208,034x = 181,413,809,329
  5. Step 5: Solve for x
    x = 181,413,809,329/208,034
  6. Step 6: Final answer
    x = 872,039.23

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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.