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Finding the Third Proportional to 158,628.25 and 233,556.38

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Solution

The third proportional to 158,628.25 and 233,556.38 is: 343,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,628.25 : 233,556.38 = 233,556.38 : x
  2. Step 2: Convert to fraction form
    158,628.25/233,556.38 = 233,556.38/x
  3. Step 3: Cross multiply
    158,628.25x = 233,556.38 × 233,556.38
  4. Step 4: Simplify right side
    158,628.25x = 54,548,580,303.14
  5. Step 5: Solve for x
    x = 54,548,580,303.14/158,628.25
  6. Step 6: Final answer
    x = 343,876.83

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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.