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Finding the Third Proportional to 132,933 and 204,328.50

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Solution

The third proportional to 132,933 and 204,328.50 is: 314,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,933 : 204,328.50 = 204,328.50 : x
  2. Step 2: Convert to fraction form
    132,933/204,328.50 = 204,328.50/x
  3. Step 3: Cross multiply
    132,933x = 204,328.50 × 204,328.50
  4. Step 4: Simplify right side
    132,933x = 41,750,135,912.25
  5. Step 5: Solve for x
    x = 41,750,135,912.25/132,933
  6. Step 6: Final answer
    x = 314,069.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.