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Finding the Third Proportional to 141,923 and 197,331.50

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Solution

The third proportional to 141,923 and 197,331.50 is: 274,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,923 : 197,331.50 = 197,331.50 : x
  2. Step 2: Convert to fraction form
    141,923/197,331.50 = 197,331.50/x
  3. Step 3: Cross multiply
    141,923x = 197,331.50 × 197,331.50
  4. Step 4: Simplify right side
    141,923x = 38,939,720,892.25
  5. Step 5: Solve for x
    x = 38,939,720,892.25/141,923
  6. Step 6: Final answer
    x = 274,372.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.