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Finding the Third Proportional to 151,232.06 and 205,512.19

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Solution

The third proportional to 151,232.06 and 205,512.19 is: 279,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,232.06 : 205,512.19 = 205,512.19 : x
  2. Step 2: Convert to fraction form
    151,232.06/205,512.19 = 205,512.19/x
  3. Step 3: Cross multiply
    151,232.06x = 205,512.19 × 205,512.19
  4. Step 4: Simplify right side
    151,232.06x = 42,235,259,211.04
  5. Step 5: Solve for x
    x = 42,235,259,211.04/151,232.06
  6. Step 6: Final answer
    x = 279,274.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.