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Finding the Third Proportional to 128,575.69 and 276,832.69

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Solution

The third proportional to 128,575.69 and 276,832.69 is: 596,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,575.69 : 276,832.69 = 276,832.69 : x
  2. Step 2: Convert to fraction form
    128,575.69/276,832.69 = 276,832.69/x
  3. Step 3: Cross multiply
    128,575.69x = 276,832.69 × 276,832.69
  4. Step 4: Simplify right side
    128,575.69x = 76,636,336,868.47
  5. Step 5: Solve for x
    x = 76,636,336,868.47/128,575.69
  6. Step 6: Final answer
    x = 596,040.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.