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Finding the Third Proportional to 166,140 and 354,036

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Solution

The third proportional to 166,140 and 354,036 is: 754,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,140 : 354,036 = 354,036 : x
  2. Step 2: Convert to fraction form
    166,140/354,036 = 354,036/x
  3. Step 3: Cross multiply
    166,140x = 354,036 × 354,036
  4. Step 4: Simplify right side
    166,140x = 125,341,489,296
  5. Step 5: Solve for x
    x = 125,341,489,296/166,140
  6. Step 6: Final answer
    x = 754,432.94

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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.