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Finding the Third Proportional to 156,826.13 and 229,771.69

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Solution

The third proportional to 156,826.13 and 229,771.69 is: 336,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,826.13 : 229,771.69 = 229,771.69 : x
  2. Step 2: Convert to fraction form
    156,826.13/229,771.69 = 229,771.69/x
  3. Step 3: Cross multiply
    156,826.13x = 229,771.69 × 229,771.69
  4. Step 4: Simplify right side
    156,826.13x = 52,795,028,376.60
  5. Step 5: Solve for x
    x = 52,795,028,376.60/156,826.13
  6. Step 6: Final answer
    x = 336,646.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.