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Finding the Third Proportional to 85,997.50 and 202,354

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Solution

The third proportional to 85,997.50 and 202,354 is: 476,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,997.50 : 202,354 = 202,354 : x
  2. Step 2: Convert to fraction form
    85,997.50/202,354 = 202,354/x
  3. Step 3: Cross multiply
    85,997.50x = 202,354 × 202,354
  4. Step 4: Simplify right side
    85,997.50x = 40,947,141,316
  5. Step 5: Solve for x
    x = 40,947,141,316/85,997.50
  6. Step 6: Final answer
    x = 476,143.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.