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Finding the Third Proportional to 197,450 and 282,158

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Solution

The third proportional to 197,450 and 282,158 is: 403,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,450 : 282,158 = 282,158 : x
  2. Step 2: Convert to fraction form
    197,450/282,158 = 282,158/x
  3. Step 3: Cross multiply
    197,450x = 282,158 × 282,158
  4. Step 4: Simplify right side
    197,450x = 79,613,136,964
  5. Step 5: Solve for x
    x = 79,613,136,964/197,450
  6. Step 6: Final answer
    x = 403,206.57

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