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Finding the Third Proportional to 156,381 and 334,906

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Solution

The third proportional to 156,381 and 334,906 is: 717,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,381 : 334,906 = 334,906 : x
  2. Step 2: Convert to fraction form
    156,381/334,906 = 334,906/x
  3. Step 3: Cross multiply
    156,381x = 334,906 × 334,906
  4. Step 4: Simplify right side
    156,381x = 112,162,028,836
  5. Step 5: Solve for x
    x = 112,162,028,836/156,381
  6. Step 6: Final answer
    x = 717,235.65

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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.