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Finding the Third Proportional to 156,789 and 335,713

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Solution

The third proportional to 156,789 and 335,713 is: 718,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 335,713 = 335,713 : x
  2. Step 2: Convert to fraction form
    156,789/335,713 = 335,713/x
  3. Step 3: Cross multiply
    156,789x = 335,713 × 335,713
  4. Step 4: Simplify right side
    156,789x = 112,703,218,369
  5. Step 5: Solve for x
    x = 112,703,218,369/156,789
  6. Step 6: Final answer
    x = 718,820.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.