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Finding the Third Proportional to 141,201.56 and 197,950.50

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Solution

The third proportional to 141,201.56 and 197,950.50 is: 277,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,201.56 : 197,950.50 = 197,950.50 : x
  2. Step 2: Convert to fraction form
    141,201.56/197,950.50 = 197,950.50/x
  3. Step 3: Cross multiply
    141,201.56x = 197,950.50 × 197,950.50
  4. Step 4: Simplify right side
    141,201.56x = 39,184,400,450.25
  5. Step 5: Solve for x
    x = 39,184,400,450.25/141,201.56
  6. Step 6: Final answer
    x = 277,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.