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Finding the Third Proportional to 156,966 and 341,292

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Solution

The third proportional to 156,966 and 341,292 is: 742,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 341,292 = 341,292 : x
  2. Step 2: Convert to fraction form
    156,966/341,292 = 341,292/x
  3. Step 3: Cross multiply
    156,966x = 341,292 × 341,292
  4. Step 4: Simplify right side
    156,966x = 116,480,229,264
  5. Step 5: Solve for x
    x = 116,480,229,264/156,966
  6. Step 6: Final answer
    x = 742,072.99

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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.