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Finding the Third Proportional to 171,811.13 and 262,819.13

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Solution

The third proportional to 171,811.13 and 262,819.13 is: 402,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,811.13 : 262,819.13 = 262,819.13 : x
  2. Step 2: Convert to fraction form
    171,811.13/262,819.13 = 262,819.13/x
  3. Step 3: Cross multiply
    171,811.13x = 262,819.13 × 262,819.13
  4. Step 4: Simplify right side
    171,811.13x = 69,073,892,465.77
  5. Step 5: Solve for x
    x = 69,073,892,465.77/171,811.13
  6. Step 6: Final answer
    x = 402,033.88

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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.