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Finding the Third Proportional to 107,050 and 230,543

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Solution

The third proportional to 107,050 and 230,543 is: 496,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,050 : 230,543 = 230,543 : x
  2. Step 2: Convert to fraction form
    107,050/230,543 = 230,543/x
  3. Step 3: Cross multiply
    107,050x = 230,543 × 230,543
  4. Step 4: Simplify right side
    107,050x = 53,150,074,849
  5. Step 5: Solve for x
    x = 53,150,074,849/107,050
  6. Step 6: Final answer
    x = 496,497.66

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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.