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Finding the Third Proportional to 233,083.69 and 515,170.13

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Solution

The third proportional to 233,083.69 and 515,170.13 is: 1,138,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,083.69 : 515,170.13 = 515,170.13 : x
  2. Step 2: Convert to fraction form
    233,083.69/515,170.13 = 515,170.13/x
  3. Step 3: Cross multiply
    233,083.69x = 515,170.13 × 515,170.13
  4. Step 4: Simplify right side
    233,083.69x = 265,400,257,692.52
  5. Step 5: Solve for x
    x = 265,400,257,692.52/233,083.69
  6. Step 6: Final answer
    x = 1,138,647.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.