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Finding the Third Proportional to 75,398 and 156,997

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Solution

The third proportional to 75,398 and 156,997 is: 326,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,398 : 156,997 = 156,997 : x
  2. Step 2: Convert to fraction form
    75,398/156,997 = 156,997/x
  3. Step 3: Cross multiply
    75,398x = 156,997 × 156,997
  4. Step 4: Simplify right side
    75,398x = 24,648,058,009
  5. Step 5: Solve for x
    x = 24,648,058,009/75,398
  6. Step 6: Final answer
    x = 326,905.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.