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Finding the Third Proportional to 201,601.50 and 423,885

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Solution

The third proportional to 201,601.50 and 423,885 is: 891,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,601.50 : 423,885 = 423,885 : x
  2. Step 2: Convert to fraction form
    201,601.50/423,885 = 423,885/x
  3. Step 3: Cross multiply
    201,601.50x = 423,885 × 423,885
  4. Step 4: Simplify right side
    201,601.50x = 179,678,493,225
  5. Step 5: Solve for x
    x = 179,678,493,225/201,601.50
  6. Step 6: Final answer
    x = 891,255.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.