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Finding the Third Proportional to 166,439.81 and 235,508.77

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Solution

The third proportional to 166,439.81 and 235,508.77 is: 333,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,439.81 : 235,508.77 = 235,508.77 : x
  2. Step 2: Convert to fraction form
    166,439.81/235,508.77 = 235,508.77/x
  3. Step 3: Cross multiply
    166,439.81x = 235,508.77 × 235,508.77
  4. Step 4: Simplify right side
    166,439.81x = 55,464,378,686.21
  5. Step 5: Solve for x
    x = 55,464,378,686.21/166,439.81
  6. Step 6: Final answer
    x = 333,239.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.