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Finding the Third Proportional to 201,738 and 303,478

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Solution

The third proportional to 201,738 and 303,478 is: 456,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738 : 303,478 = 303,478 : x
  2. Step 2: Convert to fraction form
    201,738/303,478 = 303,478/x
  3. Step 3: Cross multiply
    201,738x = 303,478 × 303,478
  4. Step 4: Simplify right side
    201,738x = 92,098,896,484
  5. Step 5: Solve for x
    x = 92,098,896,484/201,738
  6. Step 6: Final answer
    x = 456,527.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.