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Finding the Third Proportional to 201,061 and 418,659.50

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Solution

The third proportional to 201,061 and 418,659.50 is: 871,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,061 : 418,659.50 = 418,659.50 : x
  2. Step 2: Convert to fraction form
    201,061/418,659.50 = 418,659.50/x
  3. Step 3: Cross multiply
    201,061x = 418,659.50 × 418,659.50
  4. Step 4: Simplify right side
    201,061x = 175,275,776,940.25
  5. Step 5: Solve for x
    x = 175,275,776,940.25/201,061
  6. Step 6: Final answer
    x = 871,754.23

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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.