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Finding the Third Proportional to 132,815.50 and 285,314.50

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Solution

The third proportional to 132,815.50 and 285,314.50 is: 612,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,815.50 : 285,314.50 = 285,314.50 : x
  2. Step 2: Convert to fraction form
    132,815.50/285,314.50 = 285,314.50/x
  3. Step 3: Cross multiply
    132,815.50x = 285,314.50 × 285,314.50
  4. Step 4: Simplify right side
    132,815.50x = 81,404,363,910.25
  5. Step 5: Solve for x
    x = 81,404,363,910.25/132,815.50
  6. Step 6: Final answer
    x = 612,913.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.