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Finding the Third Proportional to 141,171 and 224,716.50

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Solution

The third proportional to 141,171 and 224,716.50 is: 357,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,171 : 224,716.50 = 224,716.50 : x
  2. Step 2: Convert to fraction form
    141,171/224,716.50 = 224,716.50/x
  3. Step 3: Cross multiply
    141,171x = 224,716.50 × 224,716.50
  4. Step 4: Simplify right side
    141,171x = 50,497,505,372.25
  5. Step 5: Solve for x
    x = 50,497,505,372.25/141,171
  6. Step 6: Final answer
    x = 357,704.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.