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Finding the Third Proportional to 78,480.50 and 169,997

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Solution

The third proportional to 78,480.50 and 169,997 is: 368,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.50 : 169,997 = 169,997 : x
  2. Step 2: Convert to fraction form
    78,480.50/169,997 = 169,997/x
  3. Step 3: Cross multiply
    78,480.50x = 169,997 × 169,997
  4. Step 4: Simplify right side
    78,480.50x = 28,898,980,009
  5. Step 5: Solve for x
    x = 28,898,980,009/78,480.50
  6. Step 6: Final answer
    x = 368,231.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.