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Finding the Third Proportional to 115,694 and 174,997

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Solution

The third proportional to 115,694 and 174,997 is: 264,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,694 : 174,997 = 174,997 : x
  2. Step 2: Convert to fraction form
    115,694/174,997 = 174,997/x
  3. Step 3: Cross multiply
    115,694x = 174,997 × 174,997
  4. Step 4: Simplify right side
    115,694x = 30,623,950,009
  5. Step 5: Solve for x
    x = 30,623,950,009/115,694
  6. Step 6: Final answer
    x = 264,697.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.