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Finding the Third Proportional to 166,124 and 353,998

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Solution

The third proportional to 166,124 and 353,998 is: 754,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,124 : 353,998 = 353,998 : x
  2. Step 2: Convert to fraction form
    166,124/353,998 = 353,998/x
  3. Step 3: Cross multiply
    166,124x = 353,998 × 353,998
  4. Step 4: Simplify right side
    166,124x = 125,314,584,004
  5. Step 5: Solve for x
    x = 125,314,584,004/166,124
  6. Step 6: Final answer
    x = 754,343.65

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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.