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Finding the Third Proportional to 156,749 and 343,544

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Solution

The third proportional to 156,749 and 343,544 is: 752,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749 : 343,544 = 343,544 : x
  2. Step 2: Convert to fraction form
    156,749/343,544 = 343,544/x
  3. Step 3: Cross multiply
    156,749x = 343,544 × 343,544
  4. Step 4: Simplify right side
    156,749x = 118,022,479,936
  5. Step 5: Solve for x
    x = 118,022,479,936/156,749
  6. Step 6: Final answer
    x = 752,939.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.