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Finding the Third Proportional to 166,212 and 360,855

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Solution

The third proportional to 166,212 and 360,855 is: 783,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212 : 360,855 = 360,855 : x
  2. Step 2: Convert to fraction form
    166,212/360,855 = 360,855/x
  3. Step 3: Cross multiply
    166,212x = 360,855 × 360,855
  4. Step 4: Simplify right side
    166,212x = 130,216,331,025
  5. Step 5: Solve for x
    x = 130,216,331,025/166,212
  6. Step 6: Final answer
    x = 783,435.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.