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Finding the Third Proportional to 197,961.75 and 431,655.75

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Solution

The third proportional to 197,961.75 and 431,655.75 is: 941,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,961.75 : 431,655.75 = 431,655.75 : x
  2. Step 2: Convert to fraction form
    197,961.75/431,655.75 = 431,655.75/x
  3. Step 3: Cross multiply
    197,961.75x = 431,655.75 × 431,655.75
  4. Step 4: Simplify right side
    197,961.75x = 186,326,686,508.06
  5. Step 5: Solve for x
    x = 186,326,686,508.06/197,961.75
  6. Step 6: Final answer
    x = 941,225.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.