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Finding the Third Proportional to 141,211.48 and 311,068.48

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Solution

The third proportional to 141,211.48 and 311,068.48 is: 685,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,211.48 : 311,068.48 = 311,068.48 : x
  2. Step 2: Convert to fraction form
    141,211.48/311,068.48 = 311,068.48/x
  3. Step 3: Cross multiply
    141,211.48x = 311,068.48 × 311,068.48
  4. Step 4: Simplify right side
    141,211.48x = 96,763,597,110.91
  5. Step 5: Solve for x
    x = 96,763,597,110.91/141,211.48
  6. Step 6: Final answer
    x = 685,238.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.