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Finding the Third Proportional to 105,310.13 and 233,462.25

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Solution

The third proportional to 105,310.13 and 233,462.25 is: 517,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,310.13 : 233,462.25 = 233,462.25 : x
  2. Step 2: Convert to fraction form
    105,310.13/233,462.25 = 233,462.25/x
  3. Step 3: Cross multiply
    105,310.13x = 233,462.25 × 233,462.25
  4. Step 4: Simplify right side
    105,310.13x = 54,504,622,175.06
  5. Step 5: Solve for x
    x = 54,504,622,175.06/105,310.13
  6. Step 6: Final answer
    x = 517,562.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.