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Finding the Third Proportional to 156,384 and 334,911

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Solution

The third proportional to 156,384 and 334,911 is: 717,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,384 : 334,911 = 334,911 : x
  2. Step 2: Convert to fraction form
    156,384/334,911 = 334,911/x
  3. Step 3: Cross multiply
    156,384x = 334,911 × 334,911
  4. Step 4: Simplify right side
    156,384x = 112,165,377,921
  5. Step 5: Solve for x
    x = 112,165,377,921/156,384
  6. Step 6: Final answer
    x = 717,243.31

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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.