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Finding the Third Proportional to 166,760 and 356,848

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Solution

The third proportional to 166,760 and 356,848 is: 763,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,760 : 356,848 = 356,848 : x
  2. Step 2: Convert to fraction form
    166,760/356,848 = 356,848/x
  3. Step 3: Cross multiply
    166,760x = 356,848 × 356,848
  4. Step 4: Simplify right side
    166,760x = 127,340,495,104
  5. Step 5: Solve for x
    x = 127,340,495,104/166,760
  6. Step 6: Final answer
    x = 763,615.35

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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.