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Finding the Third Proportional to 160,822.13 and 236,418.75

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Solution

The third proportional to 160,822.13 and 236,418.75 is: 347,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.13 : 236,418.75 = 236,418.75 : x
  2. Step 2: Convert to fraction form
    160,822.13/236,418.75 = 236,418.75/x
  3. Step 3: Cross multiply
    160,822.13x = 236,418.75 × 236,418.75
  4. Step 4: Simplify right side
    160,822.13x = 55,893,825,351.56
  5. Step 5: Solve for x
    x = 55,893,825,351.56/160,822.13
  6. Step 6: Final answer
    x = 347,550.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.