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Finding the Third Proportional to 221,418.56 and 339,125.06

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Solution

The third proportional to 221,418.56 and 339,125.06 is: 519,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,418.56 : 339,125.06 = 339,125.06 : x
  2. Step 2: Convert to fraction form
    221,418.56/339,125.06 = 339,125.06/x
  3. Step 3: Cross multiply
    221,418.56x = 339,125.06 × 339,125.06
  4. Step 4: Simplify right side
    221,418.56x = 115,005,808,015.63
  5. Step 5: Solve for x
    x = 115,005,808,015.63/221,418.56
  6. Step 6: Final answer
    x = 519,404.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.