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Finding the Third Proportional to 156,954 and 341,932

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Solution

The third proportional to 156,954 and 341,932 is: 744,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 341,932 = 341,932 : x
  2. Step 2: Convert to fraction form
    156,954/341,932 = 341,932/x
  3. Step 3: Cross multiply
    156,954x = 341,932 × 341,932
  4. Step 4: Simplify right side
    156,954x = 116,917,492,624
  5. Step 5: Solve for x
    x = 116,917,492,624/156,954
  6. Step 6: Final answer
    x = 744,915.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.