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Finding the Third Proportional to 197,442.56 and 282,147.05

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Solution

The third proportional to 197,442.56 and 282,147.05 is: 403,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,442.56 : 282,147.05 = 282,147.05 : x
  2. Step 2: Convert to fraction form
    197,442.56/282,147.05 = 282,147.05/x
  3. Step 3: Cross multiply
    197,442.56x = 282,147.05 × 282,147.05
  4. Step 4: Simplify right side
    197,442.56x = 79,606,956,060.28
  5. Step 5: Solve for x
    x = 79,606,956,060.28/197,442.56
  6. Step 6: Final answer
    x = 403,190.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.