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Finding the Third Proportional to 159,783 and 230,170.50

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Solution

The third proportional to 159,783 and 230,170.50 is: 331,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,783 : 230,170.50 = 230,170.50 : x
  2. Step 2: Convert to fraction form
    159,783/230,170.50 = 230,170.50/x
  3. Step 3: Cross multiply
    159,783x = 230,170.50 × 230,170.50
  4. Step 4: Simplify right side
    159,783x = 52,978,459,070.25
  5. Step 5: Solve for x
    x = 52,978,459,070.25/159,783
  6. Step 6: Final answer
    x = 331,565.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.