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Finding the Third Proportional to 166,188 and 362,445

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Solution

The third proportional to 166,188 and 362,445 is: 790,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,188 : 362,445 = 362,445 : x
  2. Step 2: Convert to fraction form
    166,188/362,445 = 362,445/x
  3. Step 3: Cross multiply
    166,188x = 362,445 × 362,445
  4. Step 4: Simplify right side
    166,188x = 131,366,378,025
  5. Step 5: Solve for x
    x = 131,366,378,025/166,188
  6. Step 6: Final answer
    x = 790,468.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.