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Finding the Third Proportional to 166,188 and 355,692

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Solution

The third proportional to 166,188 and 355,692 is: 761,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,188 : 355,692 = 355,692 : x
  2. Step 2: Convert to fraction form
    166,188/355,692 = 355,692/x
  3. Step 3: Cross multiply
    166,188x = 355,692 × 355,692
  4. Step 4: Simplify right side
    166,188x = 126,516,798,864
  5. Step 5: Solve for x
    x = 126,516,798,864/166,188
  6. Step 6: Final answer
    x = 761,287.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.