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Finding the Third Proportional to 166,488 and 366,120

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Solution

The third proportional to 166,488 and 366,120 is: 805,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,488 : 366,120 = 366,120 : x
  2. Step 2: Convert to fraction form
    166,488/366,120 = 366,120/x
  3. Step 3: Cross multiply
    166,488x = 366,120 × 366,120
  4. Step 4: Simplify right side
    166,488x = 134,043,854,400
  5. Step 5: Solve for x
    x = 134,043,854,400/166,488
  6. Step 6: Final answer
    x = 805,126.22

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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.