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Finding the Third Proportional to 156,912 and 341,024

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Solution

The third proportional to 156,912 and 341,024 is: 741,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 341,024 = 341,024 : x
  2. Step 2: Convert to fraction form
    156,912/341,024 = 341,024/x
  3. Step 3: Cross multiply
    156,912x = 341,024 × 341,024
  4. Step 4: Simplify right side
    156,912x = 116,297,368,576
  5. Step 5: Solve for x
    x = 116,297,368,576/156,912
  6. Step 6: Final answer
    x = 741,163.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.