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Finding the Third Proportional to 151,566.50 and 210,738.50

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Solution

The third proportional to 151,566.50 and 210,738.50 is: 293,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,566.50 : 210,738.50 = 210,738.50 : x
  2. Step 2: Convert to fraction form
    151,566.50/210,738.50 = 210,738.50/x
  3. Step 3: Cross multiply
    151,566.50x = 210,738.50 × 210,738.50
  4. Step 4: Simplify right side
    151,566.50x = 44,410,715,382.25
  5. Step 5: Solve for x
    x = 44,410,715,382.25/151,566.50
  6. Step 6: Final answer
    x = 293,011.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.