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Finding the Third Proportional to 154,234.13 and 232,021.13

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Solution

The third proportional to 154,234.13 and 232,021.13 is: 349,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,234.13 : 232,021.13 = 232,021.13 : x
  2. Step 2: Convert to fraction form
    154,234.13/232,021.13 = 232,021.13/x
  3. Step 3: Cross multiply
    154,234.13x = 232,021.13 × 232,021.13
  4. Step 4: Simplify right side
    154,234.13x = 53,833,802,446.27
  5. Step 5: Solve for x
    x = 53,833,802,446.27/154,234.13
  6. Step 6: Final answer
    x = 349,039.50

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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.