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Finding the Third Proportional to 197,574.19 and 425,103.19

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Solution

The third proportional to 197,574.19 and 425,103.19 is: 914,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,574.19 : 425,103.19 = 425,103.19 : x
  2. Step 2: Convert to fraction form
    197,574.19/425,103.19 = 425,103.19/x
  3. Step 3: Cross multiply
    197,574.19x = 425,103.19 × 425,103.19
  4. Step 4: Simplify right side
    197,574.19x = 180,712,720,022.66
  5. Step 5: Solve for x
    x = 180,712,720,022.66/197,574.19
  6. Step 6: Final answer
    x = 914,657.54

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