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Finding the Third Proportional to 156,731 and 343,508

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Solution

The third proportional to 156,731 and 343,508 is: 752,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,731 : 343,508 = 343,508 : x
  2. Step 2: Convert to fraction form
    156,731/343,508 = 343,508/x
  3. Step 3: Cross multiply
    156,731x = 343,508 × 343,508
  4. Step 4: Simplify right side
    156,731x = 117,997,746,064
  5. Step 5: Solve for x
    x = 117,997,746,064/156,731
  6. Step 6: Final answer
    x = 752,867.95

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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.