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Finding the Third Proportional to 166,523.77 and 366,262.59

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Solution

The third proportional to 166,523.77 and 366,262.59 is: 805,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,523.77 : 366,262.59 = 366,262.59 : x
  2. Step 2: Convert to fraction form
    166,523.77/366,262.59 = 366,262.59/x
  3. Step 3: Cross multiply
    166,523.77x = 366,262.59 × 366,262.59
  4. Step 4: Simplify right side
    166,523.77x = 134,148,287,580.48
  5. Step 5: Solve for x
    x = 134,148,287,580.48/166,523.77
  6. Step 6: Final answer
    x = 805,580.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.