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Finding the Third Proportional to 101,324.25 and 234,569.25

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Solution

The third proportional to 101,324.25 and 234,569.25 is: 543,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.25 : 234,569.25 = 234,569.25 : x
  2. Step 2: Convert to fraction form
    101,324.25/234,569.25 = 234,569.25/x
  3. Step 3: Cross multiply
    101,324.25x = 234,569.25 × 234,569.25
  4. Step 4: Simplify right side
    101,324.25x = 55,022,733,045.56
  5. Step 5: Solve for x
    x = 55,022,733,045.56/101,324.25
  6. Step 6: Final answer
    x = 543,036.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.