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Finding the Third Proportional to 141,196.50 and 220,131

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Solution

The third proportional to 141,196.50 and 220,131 is: 343,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,196.50 : 220,131 = 220,131 : x
  2. Step 2: Convert to fraction form
    141,196.50/220,131 = 220,131/x
  3. Step 3: Cross multiply
    141,196.50x = 220,131 × 220,131
  4. Step 4: Simplify right side
    141,196.50x = 48,457,657,161
  5. Step 5: Solve for x
    x = 48,457,657,161/141,196.50
  6. Step 6: Final answer
    x = 343,193.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.