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Finding the Third Proportional to 105,283.13 and 230,249.25

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Solution

The third proportional to 105,283.13 and 230,249.25 is: 503,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,283.13 : 230,249.25 = 230,249.25 : x
  2. Step 2: Convert to fraction form
    105,283.13/230,249.25 = 230,249.25/x
  3. Step 3: Cross multiply
    105,283.13x = 230,249.25 × 230,249.25
  4. Step 4: Simplify right side
    105,283.13x = 53,014,717,125.56
  5. Step 5: Solve for x
    x = 53,014,717,125.56/105,283.13
  6. Step 6: Final answer
    x = 503,544.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.