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Finding the Third Proportional to 166,334 and 355,996

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Solution

The third proportional to 166,334 and 355,996 is: 761,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,334 : 355,996 = 355,996 : x
  2. Step 2: Convert to fraction form
    166,334/355,996 = 355,996/x
  3. Step 3: Cross multiply
    166,334x = 355,996 × 355,996
  4. Step 4: Simplify right side
    166,334x = 126,733,152,016
  5. Step 5: Solve for x
    x = 126,733,152,016/166,334
  6. Step 6: Final answer
    x = 761,919.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.