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Finding the Third Proportional to 132,743.50 and 210,297.99

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Solution

The third proportional to 132,743.50 and 210,297.99 is: 333,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,743.50 : 210,297.99 = 210,297.99 : x
  2. Step 2: Convert to fraction form
    132,743.50/210,297.99 = 210,297.99/x
  3. Step 3: Cross multiply
    132,743.50x = 210,297.99 × 210,297.99
  4. Step 4: Simplify right side
    132,743.50x = 44,225,244,696.62
  5. Step 5: Solve for x
    x = 44,225,244,696.62/132,743.50
  6. Step 6: Final answer
    x = 333,163.18

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.