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Finding the Third Proportional to 156,679 and 344,462

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Solution

The third proportional to 156,679 and 344,462 is: 757,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,679 : 344,462 = 344,462 : x
  2. Step 2: Convert to fraction form
    156,679/344,462 = 344,462/x
  3. Step 3: Cross multiply
    156,679x = 344,462 × 344,462
  4. Step 4: Simplify right side
    156,679x = 118,654,069,444
  5. Step 5: Solve for x
    x = 118,654,069,444/156,679
  6. Step 6: Final answer
    x = 757,306.78

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Why These Related Problems?

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