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Finding the Third Proportional to 165,671.50 and 255,022.50

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Solution

The third proportional to 165,671.50 and 255,022.50 is: 392,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,671.50 : 255,022.50 = 255,022.50 : x
  2. Step 2: Convert to fraction form
    165,671.50/255,022.50 = 255,022.50/x
  3. Step 3: Cross multiply
    165,671.50x = 255,022.50 × 255,022.50
  4. Step 4: Simplify right side
    165,671.50x = 65,036,475,506.25
  5. Step 5: Solve for x
    x = 65,036,475,506.25/165,671.50
  6. Step 6: Final answer
    x = 392,562.85

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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.