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Finding the Third Proportional to 132,704 and 202,912

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Solution

The third proportional to 132,704 and 202,912 is: 310,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,704 : 202,912 = 202,912 : x
  2. Step 2: Convert to fraction form
    132,704/202,912 = 202,912/x
  3. Step 3: Cross multiply
    132,704x = 202,912 × 202,912
  4. Step 4: Simplify right side
    132,704x = 41,173,279,744
  5. Step 5: Solve for x
    x = 41,173,279,744/132,704
  6. Step 6: Final answer
    x = 310,264.04

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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.