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Finding the Third Proportional to 166,282.66 and 253,575.77

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Solution

The third proportional to 166,282.66 and 253,575.77 is: 386,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,282.66 : 253,575.77 = 253,575.77 : x
  2. Step 2: Convert to fraction form
    166,282.66/253,575.77 = 253,575.77/x
  3. Step 3: Cross multiply
    166,282.66x = 253,575.77 × 253,575.77
  4. Step 4: Simplify right side
    166,282.66x = 64,300,672,874.43
  5. Step 5: Solve for x
    x = 64,300,672,874.43/166,282.66
  6. Step 6: Final answer
    x = 386,694.99

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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.