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Finding the Third Proportional to 128,301.75 and 188,516.25

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Solution

The third proportional to 128,301.75 and 188,516.25 is: 276,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,301.75 : 188,516.25 = 188,516.25 : x
  2. Step 2: Convert to fraction form
    128,301.75/188,516.25 = 188,516.25/x
  3. Step 3: Cross multiply
    128,301.75x = 188,516.25 × 188,516.25
  4. Step 4: Simplify right side
    128,301.75x = 35,538,376,514.06
  5. Step 5: Solve for x
    x = 35,538,376,514.06/128,301.75
  6. Step 6: Final answer
    x = 276,990.58

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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.