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Finding the Third Proportional to 201,073 and 418,682

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Solution

The third proportional to 201,073 and 418,682 is: 871,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,073 : 418,682 = 418,682 : x
  2. Step 2: Convert to fraction form
    201,073/418,682 = 418,682/x
  3. Step 3: Cross multiply
    201,073x = 418,682 × 418,682
  4. Step 4: Simplify right side
    201,073x = 175,294,617,124
  5. Step 5: Solve for x
    x = 175,294,617,124/201,073
  6. Step 6: Final answer
    x = 871,795.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.