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Finding the Third Proportional to 156,066 and 341,868

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Solution

The third proportional to 156,066 and 341,868 is: 748,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,066 : 341,868 = 341,868 : x
  2. Step 2: Convert to fraction form
    156,066/341,868 = 341,868/x
  3. Step 3: Cross multiply
    156,066x = 341,868 × 341,868
  4. Step 4: Simplify right side
    156,066x = 116,873,729,424
  5. Step 5: Solve for x
    x = 116,873,729,424/156,066
  6. Step 6: Final answer
    x = 748,873.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.