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Finding the Third Proportional to 86,353 and 203,553

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Solution

The third proportional to 86,353 and 203,553 is: 479,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,353 : 203,553 = 203,553 : x
  2. Step 2: Convert to fraction form
    86,353/203,553 = 203,553/x
  3. Step 3: Cross multiply
    86,353x = 203,553 × 203,553
  4. Step 4: Simplify right side
    86,353x = 41,433,823,809
  5. Step 5: Solve for x
    x = 41,433,823,809/86,353
  6. Step 6: Final answer
    x = 479,819.16

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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.