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Finding the Third Proportional to 201,136.50 and 425,601

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Solution

The third proportional to 201,136.50 and 425,601 is: 900,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136.50 : 425,601 = 425,601 : x
  2. Step 2: Convert to fraction form
    201,136.50/425,601 = 425,601/x
  3. Step 3: Cross multiply
    201,136.50x = 425,601 × 425,601
  4. Step 4: Simplify right side
    201,136.50x = 181,136,211,201
  5. Step 5: Solve for x
    x = 181,136,211,201/201,136.50
  6. Step 6: Final answer
    x = 900,563.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.