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Finding the Third Proportional to 156,982 and 341,324

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Solution

The third proportional to 156,982 and 341,324 is: 742,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 341,324 = 341,324 : x
  2. Step 2: Convert to fraction form
    156,982/341,324 = 341,324/x
  3. Step 3: Cross multiply
    156,982x = 341,324 × 341,324
  4. Step 4: Simplify right side
    156,982x = 116,502,072,976
  5. Step 5: Solve for x
    x = 116,502,072,976/156,982
  6. Step 6: Final answer
    x = 742,136.51

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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.