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Finding the Third Proportional to 156,348 and 334,872

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Solution

The third proportional to 156,348 and 334,872 is: 717,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,348 : 334,872 = 334,872 : x
  2. Step 2: Convert to fraction form
    156,348/334,872 = 334,872/x
  3. Step 3: Cross multiply
    156,348x = 334,872 × 334,872
  4. Step 4: Simplify right side
    156,348x = 112,139,256,384
  5. Step 5: Solve for x
    x = 112,139,256,384/156,348
  6. Step 6: Final answer
    x = 717,241.39

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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.