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Finding the Third Proportional to 132,630 and 202,818

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Solution

The third proportional to 132,630 and 202,818 is: 310,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,630 : 202,818 = 202,818 : x
  2. Step 2: Convert to fraction form
    132,630/202,818 = 202,818/x
  3. Step 3: Cross multiply
    132,630x = 202,818 × 202,818
  4. Step 4: Simplify right side
    132,630x = 41,135,141,124
  5. Step 5: Solve for x
    x = 41,135,141,124/132,630
  6. Step 6: Final answer
    x = 310,149.60

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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.