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Finding the Third Proportional to 160,822.13 and 236,555.44

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Solution

The third proportional to 160,822.13 and 236,555.44 is: 347,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.13 : 236,555.44 = 236,555.44 : x
  2. Step 2: Convert to fraction form
    160,822.13/236,555.44 = 236,555.44/x
  3. Step 3: Cross multiply
    160,822.13x = 236,555.44 × 236,555.44
  4. Step 4: Simplify right side
    160,822.13x = 55,958,475,010.82
  5. Step 5: Solve for x
    x = 55,958,475,010.82/160,822.13
  6. Step 6: Final answer
    x = 347,952.59

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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.