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Finding the Third Proportional to 141,283.50 and 211,926

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Solution

The third proportional to 141,283.50 and 211,926 is: 317,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,283.50 : 211,926 = 211,926 : x
  2. Step 2: Convert to fraction form
    141,283.50/211,926 = 211,926/x
  3. Step 3: Cross multiply
    141,283.50x = 211,926 × 211,926
  4. Step 4: Simplify right side
    141,283.50x = 44,912,629,476
  5. Step 5: Solve for x
    x = 44,912,629,476/141,283.50
  6. Step 6: Final answer
    x = 317,890.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.