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Finding the Third Proportional to 134,489 and 202,314

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Solution

The third proportional to 134,489 and 202,314 is: 304,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,489 : 202,314 = 202,314 : x
  2. Step 2: Convert to fraction form
    134,489/202,314 = 202,314/x
  3. Step 3: Cross multiply
    134,489x = 202,314 × 202,314
  4. Step 4: Simplify right side
    134,489x = 40,930,954,596
  5. Step 5: Solve for x
    x = 40,930,954,596/134,489
  6. Step 6: Final answer
    x = 304,344.26

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