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Finding the Third Proportional to 107,218 and 236,483

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Solution

The third proportional to 107,218 and 236,483 is: 521,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,218 : 236,483 = 236,483 : x
  2. Step 2: Convert to fraction form
    107,218/236,483 = 236,483/x
  3. Step 3: Cross multiply
    107,218x = 236,483 × 236,483
  4. Step 4: Simplify right side
    107,218x = 55,924,209,289
  5. Step 5: Solve for x
    x = 55,924,209,289/107,218
  6. Step 6: Final answer
    x = 521,593.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.