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Finding the Third Proportional to 156,781.83 and 231,482.18

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Solution

The third proportional to 156,781.83 and 231,482.18 is: 341,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,781.83 : 231,482.18 = 231,482.18 : x
  2. Step 2: Convert to fraction form
    156,781.83/231,482.18 = 231,482.18/x
  3. Step 3: Cross multiply
    156,781.83x = 231,482.18 × 231,482.18
  4. Step 4: Simplify right side
    156,781.83x = 53,583,999,512.88
  5. Step 5: Solve for x
    x = 53,583,999,512.88/156,781.83
  6. Step 6: Final answer
    x = 341,774.30

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.