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Finding the Third Proportional to 201,136 and 298,222.75

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Solution

The third proportional to 201,136 and 298,222.75 is: 442,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 298,222.75 = 298,222.75 : x
  2. Step 2: Convert to fraction form
    201,136/298,222.75 = 298,222.75/x
  3. Step 3: Cross multiply
    201,136x = 298,222.75 × 298,222.75
  4. Step 4: Simplify right side
    201,136x = 88,936,808,617.56
  5. Step 5: Solve for x
    x = 88,936,808,617.56/201,136
  6. Step 6: Final answer
    x = 442,172.50

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Why These Related Problems?

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