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Finding the Third Proportional to 166,188 and 360,564

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Solution

The third proportional to 166,188 and 360,564 is: 782,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,188 : 360,564 = 360,564 : x
  2. Step 2: Convert to fraction form
    166,188/360,564 = 360,564/x
  3. Step 3: Cross multiply
    166,188x = 360,564 × 360,564
  4. Step 4: Simplify right side
    166,188x = 130,006,398,096
  5. Step 5: Solve for x
    x = 130,006,398,096/166,188
  6. Step 6: Final answer
    x = 782,285.11

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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.