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Finding the Third Proportional to 159,146 and 230,153

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Solution

The third proportional to 159,146 and 230,153 is: 332,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,146 : 230,153 = 230,153 : x
  2. Step 2: Convert to fraction form
    159,146/230,153 = 230,153/x
  3. Step 3: Cross multiply
    159,146x = 230,153 × 230,153
  4. Step 4: Simplify right side
    159,146x = 52,970,403,409
  5. Step 5: Solve for x
    x = 52,970,403,409/159,146
  6. Step 6: Final answer
    x = 332,841.56

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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.