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Finding the Third Proportional to 204,768 and 425,884.50

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Solution

The third proportional to 204,768 and 425,884.50 is: 885,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 425,884.50 = 425,884.50 : x
  2. Step 2: Convert to fraction form
    204,768/425,884.50 = 425,884.50/x
  3. Step 3: Cross multiply
    204,768x = 425,884.50 × 425,884.50
  4. Step 4: Simplify right side
    204,768x = 181,377,607,340.25
  5. Step 5: Solve for x
    x = 181,377,607,340.25/204,768
  6. Step 6: Final answer
    x = 885,771.25

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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.