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Finding the Third Proportional to 201,136.75 and 298,224

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Solution

The third proportional to 201,136.75 and 298,224 is: 442,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136.75 : 298,224 = 298,224 : x
  2. Step 2: Convert to fraction form
    201,136.75/298,224 = 298,224/x
  3. Step 3: Cross multiply
    201,136.75x = 298,224 × 298,224
  4. Step 4: Simplify right side
    201,136.75x = 88,937,554,176
  5. Step 5: Solve for x
    x = 88,937,554,176/201,136.75
  6. Step 6: Final answer
    x = 442,174.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.