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Finding the Third Proportional to 159,146.63 and 230,153.81

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Solution

The third proportional to 159,146.63 and 230,153.81 is: 332,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,146.63 : 230,153.81 = 230,153.81 : x
  2. Step 2: Convert to fraction form
    159,146.63/230,153.81 = 230,153.81/x
  3. Step 3: Cross multiply
    159,146.63x = 230,153.81 × 230,153.81
  4. Step 4: Simplify right side
    159,146.63x = 52,970,777,408.29
  5. Step 5: Solve for x
    x = 52,970,777,408.29/159,146.63
  6. Step 6: Final answer
    x = 332,842.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.