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Finding the Third Proportional to 166,098 and 354,342

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Solution

The third proportional to 166,098 and 354,342 is: 755,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,098 : 354,342 = 354,342 : x
  2. Step 2: Convert to fraction form
    166,098/354,342 = 354,342/x
  3. Step 3: Cross multiply
    166,098x = 354,342 × 354,342
  4. Step 4: Simplify right side
    166,098x = 125,558,252,964
  5. Step 5: Solve for x
    x = 125,558,252,964/166,098
  6. Step 6: Final answer
    x = 755,928.75

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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.