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Finding the Third Proportional to 171,783 and 267,490.50

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Solution

The third proportional to 171,783 and 267,490.50 is: 416,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,783 : 267,490.50 = 267,490.50 : x
  2. Step 2: Convert to fraction form
    171,783/267,490.50 = 267,490.50/x
  3. Step 3: Cross multiply
    171,783x = 267,490.50 × 267,490.50
  4. Step 4: Simplify right side
    171,783x = 71,551,167,590.25
  5. Step 5: Solve for x
    x = 71,551,167,590.25/171,783
  6. Step 6: Final answer
    x = 416,520.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.