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Finding the Third Proportional to 86,358 and 203,567

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Solution

The third proportional to 86,358 and 203,567 is: 479,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,358 : 203,567 = 203,567 : x
  2. Step 2: Convert to fraction form
    86,358/203,567 = 203,567/x
  3. Step 3: Cross multiply
    86,358x = 203,567 × 203,567
  4. Step 4: Simplify right side
    86,358x = 41,439,523,489
  5. Step 5: Solve for x
    x = 41,439,523,489/86,358
  6. Step 6: Final answer
    x = 479,857.38

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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.