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Finding the Third Proportional to 160,822.69 and 236,556.56

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Solution

The third proportional to 160,822.69 and 236,556.56 is: 347,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.69 : 236,556.56 = 236,556.56 : x
  2. Step 2: Convert to fraction form
    160,822.69/236,556.56 = 236,556.56/x
  3. Step 3: Cross multiply
    160,822.69x = 236,556.56 × 236,556.56
  4. Step 4: Simplify right side
    160,822.69x = 55,959,007,261.82
  5. Step 5: Solve for x
    x = 55,959,007,261.82/160,822.69
  6. Step 6: Final answer
    x = 347,954.68

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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.