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Finding the Third Proportional to 132,216 and 201,416

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Solution

The third proportional to 132,216 and 201,416 is: 306,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,216 : 201,416 = 201,416 : x
  2. Step 2: Convert to fraction form
    132,216/201,416 = 201,416/x
  3. Step 3: Cross multiply
    132,216x = 201,416 × 201,416
  4. Step 4: Simplify right side
    132,216x = 40,568,405,056
  5. Step 5: Solve for x
    x = 40,568,405,056/132,216
  6. Step 6: Final answer
    x = 306,834.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.