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Finding the Third Proportional to 230,910.75 and 450,157.50

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Solution

The third proportional to 230,910.75 and 450,157.50 is: 877,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,910.75 : 450,157.50 = 450,157.50 : x
  2. Step 2: Convert to fraction form
    230,910.75/450,157.50 = 450,157.50/x
  3. Step 3: Cross multiply
    230,910.75x = 450,157.50 × 450,157.50
  4. Step 4: Simplify right side
    230,910.75x = 202,641,774,806.25
  5. Step 5: Solve for x
    x = 202,641,774,806.25/230,910.75
  6. Step 6: Final answer
    x = 877,576.18

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.