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Finding the Third Proportional to 132,384.75 and 202,041

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Solution

The third proportional to 132,384.75 and 202,041 is: 308,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.75 : 202,041 = 202,041 : x
  2. Step 2: Convert to fraction form
    132,384.75/202,041 = 202,041/x
  3. Step 3: Cross multiply
    132,384.75x = 202,041 × 202,041
  4. Step 4: Simplify right side
    132,384.75x = 40,820,565,681
  5. Step 5: Solve for x
    x = 40,820,565,681/132,384.75
  6. Step 6: Final answer
    x = 308,347.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.