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Finding the Third Proportional to 156,286.13 and 224,587.69

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Solution

The third proportional to 156,286.13 and 224,587.69 is: 322,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,286.13 : 224,587.69 = 224,587.69 : x
  2. Step 2: Convert to fraction form
    156,286.13/224,587.69 = 224,587.69/x
  3. Step 3: Cross multiply
    156,286.13x = 224,587.69 × 224,587.69
  4. Step 4: Simplify right side
    156,286.13x = 50,439,629,376.60
  5. Step 5: Solve for x
    x = 50,439,629,376.60/156,286.13
  6. Step 6: Final answer
    x = 322,739.01

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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.