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Finding the Third Proportional to 86,354 and 203,558

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Solution

The third proportional to 86,354 and 203,558 is: 479,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,354 : 203,558 = 203,558 : x
  2. Step 2: Convert to fraction form
    86,354/203,558 = 203,558/x
  3. Step 3: Cross multiply
    86,354x = 203,558 × 203,558
  4. Step 4: Simplify right side
    86,354x = 41,435,859,364
  5. Step 5: Solve for x
    x = 41,435,859,364/86,354
  6. Step 6: Final answer
    x = 479,837.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.