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Finding the Third Proportional to 154,324.69 and 231,897.94

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Solution

The third proportional to 154,324.69 and 231,897.94 is: 348,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,324.69 : 231,897.94 = 231,897.94 : x
  2. Step 2: Convert to fraction form
    154,324.69/231,897.94 = 231,897.94/x
  3. Step 3: Cross multiply
    154,324.69x = 231,897.94 × 231,897.94
  4. Step 4: Simplify right side
    154,324.69x = 53,776,653,416.75
  5. Step 5: Solve for x
    x = 53,776,653,416.75/154,324.69
  6. Step 6: Final answer
    x = 348,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.