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Finding the Third Proportional to 197,559 and 425,094.75

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Solution

The third proportional to 197,559 and 425,094.75 is: 914,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,559 : 425,094.75 = 425,094.75 : x
  2. Step 2: Convert to fraction form
    197,559/425,094.75 = 425,094.75/x
  3. Step 3: Cross multiply
    197,559x = 425,094.75 × 425,094.75
  4. Step 4: Simplify right side
    197,559x = 180,705,546,477.56
  5. Step 5: Solve for x
    x = 180,705,546,477.56/197,559
  6. Step 6: Final answer
    x = 914,691.54

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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.