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Finding the Third Proportional to 156,956 and 343,254

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Solution

The third proportional to 156,956 and 343,254 is: 750,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 343,254 = 343,254 : x
  2. Step 2: Convert to fraction form
    156,956/343,254 = 343,254/x
  3. Step 3: Cross multiply
    156,956x = 343,254 × 343,254
  4. Step 4: Simplify right side
    156,956x = 117,823,308,516
  5. Step 5: Solve for x
    x = 117,823,308,516/156,956
  6. Step 6: Final answer
    x = 750,677.31

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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.