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Finding the Third Proportional to 204,795 and 425,943

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Solution

The third proportional to 204,795 and 425,943 is: 885,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,795 : 425,943 = 425,943 : x
  2. Step 2: Convert to fraction form
    204,795/425,943 = 425,943/x
  3. Step 3: Cross multiply
    204,795x = 425,943 × 425,943
  4. Step 4: Simplify right side
    204,795x = 181,427,439,249
  5. Step 5: Solve for x
    x = 181,427,439,249/204,795
  6. Step 6: Final answer
    x = 885,897.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.