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Finding the Third Proportional to 156,864 and 336,192

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Solution

The third proportional to 156,864 and 336,192 is: 720,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,864 : 336,192 = 336,192 : x
  2. Step 2: Convert to fraction form
    156,864/336,192 = 336,192/x
  3. Step 3: Cross multiply
    156,864x = 336,192 × 336,192
  4. Step 4: Simplify right side
    156,864x = 113,025,060,864
  5. Step 5: Solve for x
    x = 113,025,060,864/156,864
  6. Step 6: Final answer
    x = 720,529.00

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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.