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Finding the Third Proportional to 156,722 and 344,544

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Solution

The third proportional to 156,722 and 344,544 is: 757,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,722 : 344,544 = 344,544 : x
  2. Step 2: Convert to fraction form
    156,722/344,544 = 344,544/x
  3. Step 3: Cross multiply
    156,722x = 344,544 × 344,544
  4. Step 4: Simplify right side
    156,722x = 118,710,567,936
  5. Step 5: Solve for x
    x = 118,710,567,936/156,722
  6. Step 6: Final answer
    x = 757,459.50

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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.