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Finding the Third Proportional to 201,731 and 293,137.50

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Solution

The third proportional to 201,731 and 293,137.50 is: 425,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731 : 293,137.50 = 293,137.50 : x
  2. Step 2: Convert to fraction form
    201,731/293,137.50 = 293,137.50/x
  3. Step 3: Cross multiply
    201,731x = 293,137.50 × 293,137.50
  4. Step 4: Simplify right side
    201,731x = 85,929,593,906.25
  5. Step 5: Solve for x
    x = 85,929,593,906.25/201,731
  6. Step 6: Final answer
    x = 425,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.