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Finding the Third Proportional to 156,710 and 341,392

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Solution

The third proportional to 156,710 and 341,392 is: 743,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,710 : 341,392 = 341,392 : x
  2. Step 2: Convert to fraction form
    156,710/341,392 = 341,392/x
  3. Step 3: Cross multiply
    156,710x = 341,392 × 341,392
  4. Step 4: Simplify right side
    156,710x = 116,548,497,664
  5. Step 5: Solve for x
    x = 116,548,497,664/156,710
  6. Step 6: Final answer
    x = 743,720.87

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Why These Related Problems?

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