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Finding the Third Proportional to 234,163.69 and 503,848.69

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Solution

The third proportional to 234,163.69 and 503,848.69 is: 1,084,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,163.69 : 503,848.69 = 503,848.69 : x
  2. Step 2: Convert to fraction form
    234,163.69/503,848.69 = 503,848.69/x
  3. Step 3: Cross multiply
    234,163.69x = 503,848.69 × 503,848.69
  4. Step 4: Simplify right side
    234,163.69x = 253,863,499,895.47
  5. Step 5: Solve for x
    x = 253,863,499,895.47/234,163.69
  6. Step 6: Final answer
    x = 1,084,128.38

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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.