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Finding the Third Proportional to 156,966 and 335,478

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Solution

The third proportional to 156,966 and 335,478 is: 717,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 335,478 = 335,478 : x
  2. Step 2: Convert to fraction form
    156,966/335,478 = 335,478/x
  3. Step 3: Cross multiply
    156,966x = 335,478 × 335,478
  4. Step 4: Simplify right side
    156,966x = 112,545,488,484
  5. Step 5: Solve for x
    x = 112,545,488,484/156,966
  6. Step 6: Final answer
    x = 717,005.52

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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.