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Finding the Third Proportional to 156,671 and 234,417

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Solution

The third proportional to 156,671 and 234,417 is: 350,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,671 : 234,417 = 234,417 : x
  2. Step 2: Convert to fraction form
    156,671/234,417 = 234,417/x
  3. Step 3: Cross multiply
    156,671x = 234,417 × 234,417
  4. Step 4: Simplify right side
    156,671x = 54,951,329,889
  5. Step 5: Solve for x
    x = 54,951,329,889/156,671
  6. Step 6: Final answer
    x = 350,743.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.