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Finding the Third Proportional to 132,381 and 202,033.50

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Solution

The third proportional to 132,381 and 202,033.50 is: 308,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381 : 202,033.50 = 202,033.50 : x
  2. Step 2: Convert to fraction form
    132,381/202,033.50 = 202,033.50/x
  3. Step 3: Cross multiply
    132,381x = 202,033.50 × 202,033.50
  4. Step 4: Simplify right side
    132,381x = 40,817,535,122.25
  5. Step 5: Solve for x
    x = 40,817,535,122.25/132,381
  6. Step 6: Final answer
    x = 308,333.79

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Why These Related Problems?

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