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Finding the Third Proportional to 107,019 and 230,595

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Solution

The third proportional to 107,019 and 230,595 is: 496,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,019 : 230,595 = 230,595 : x
  2. Step 2: Convert to fraction form
    107,019/230,595 = 230,595/x
  3. Step 3: Cross multiply
    107,019x = 230,595 × 230,595
  4. Step 4: Simplify right side
    107,019x = 53,174,054,025
  5. Step 5: Solve for x
    x = 53,174,054,025/107,019
  6. Step 6: Final answer
    x = 496,865.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.