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Finding the Third Proportional to 156,964 and 343,269

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Solution

The third proportional to 156,964 and 343,269 is: 750,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 343,269 = 343,269 : x
  2. Step 2: Convert to fraction form
    156,964/343,269 = 343,269/x
  3. Step 3: Cross multiply
    156,964x = 343,269 × 343,269
  4. Step 4: Simplify right side
    156,964x = 117,833,606,361
  5. Step 5: Solve for x
    x = 117,833,606,361/156,964
  6. Step 6: Final answer
    x = 750,704.66

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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.