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Finding the Third Proportional to 198,025.13 and 425,904

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Solution

The third proportional to 198,025.13 and 425,904 is: 916,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,025.13 : 425,904 = 425,904 : x
  2. Step 2: Convert to fraction form
    198,025.13/425,904 = 425,904/x
  3. Step 3: Cross multiply
    198,025.13x = 425,904 × 425,904
  4. Step 4: Simplify right side
    198,025.13x = 181,394,217,216
  5. Step 5: Solve for x
    x = 181,394,217,216/198,025.13
  6. Step 6: Final answer
    x = 916,016.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.