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Finding the Third Proportional to 132,378.75 and 202,032

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Solution

The third proportional to 132,378.75 and 202,032 is: 308,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.75 : 202,032 = 202,032 : x
  2. Step 2: Convert to fraction form
    132,378.75/202,032 = 202,032/x
  3. Step 3: Cross multiply
    132,378.75x = 202,032 × 202,032
  4. Step 4: Simplify right side
    132,378.75x = 40,816,929,024
  5. Step 5: Solve for x
    x = 40,816,929,024/132,378.75
  6. Step 6: Final answer
    x = 308,334.45

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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.