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Finding the Third Proportional to 166,132 and 354,011

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Solution

The third proportional to 166,132 and 354,011 is: 754,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,132 : 354,011 = 354,011 : x
  2. Step 2: Convert to fraction form
    166,132/354,011 = 354,011/x
  3. Step 3: Cross multiply
    166,132x = 354,011 × 354,011
  4. Step 4: Simplify right side
    166,132x = 125,323,788,121
  5. Step 5: Solve for x
    x = 125,323,788,121/166,132
  6. Step 6: Final answer
    x = 754,362.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.