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Finding the Third Proportional to 132,297 and 198,743.50

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Solution

The third proportional to 132,297 and 198,743.50 is: 298,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,297 : 198,743.50 = 198,743.50 : x
  2. Step 2: Convert to fraction form
    132,297/198,743.50 = 198,743.50/x
  3. Step 3: Cross multiply
    132,297x = 198,743.50 × 198,743.50
  4. Step 4: Simplify right side
    132,297x = 39,498,978,792.25
  5. Step 5: Solve for x
    x = 39,498,978,792.25/132,297
  6. Step 6: Final answer
    x = 298,562.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.