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Finding the Third Proportional to 156,944 and 343,029

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Solution

The third proportional to 156,944 and 343,029 is: 749,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 343,029 = 343,029 : x
  2. Step 2: Convert to fraction form
    156,944/343,029 = 343,029/x
  3. Step 3: Cross multiply
    156,944x = 343,029 × 343,029
  4. Step 4: Simplify right side
    156,944x = 117,668,894,841
  5. Step 5: Solve for x
    x = 117,668,894,841/156,944
  6. Step 6: Final answer
    x = 749,750.83

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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.