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Finding the Third Proportional to 156,717 and 344,534

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Solution

The third proportional to 156,717 and 344,534 is: 757,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,717 : 344,534 = 344,534 : x
  2. Step 2: Convert to fraction form
    156,717/344,534 = 344,534/x
  3. Step 3: Cross multiply
    156,717x = 344,534 × 344,534
  4. Step 4: Simplify right side
    156,717x = 118,703,677,156
  5. Step 5: Solve for x
    x = 118,703,677,156/156,717
  6. Step 6: Final answer
    x = 757,439.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.