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Finding the Third Proportional to 156,921 and 343,001

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Solution

The third proportional to 156,921 and 343,001 is: 749,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,921 : 343,001 = 343,001 : x
  2. Step 2: Convert to fraction form
    156,921/343,001 = 343,001/x
  3. Step 3: Cross multiply
    156,921x = 343,001 × 343,001
  4. Step 4: Simplify right side
    156,921x = 117,649,686,001
  5. Step 5: Solve for x
    x = 117,649,686,001/156,921
  6. Step 6: Final answer
    x = 749,738.31

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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.