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Finding the Third Proportional to 159,148.50 and 230,155.50

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Solution

The third proportional to 159,148.50 and 230,155.50 is: 332,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,148.50 : 230,155.50 = 230,155.50 : x
  2. Step 2: Convert to fraction form
    159,148.50/230,155.50 = 230,155.50/x
  3. Step 3: Cross multiply
    159,148.50x = 230,155.50 × 230,155.50
  4. Step 4: Simplify right side
    159,148.50x = 52,971,554,180.25
  5. Step 5: Solve for x
    x = 52,971,554,180.25/159,148.50
  6. Step 6: Final answer
    x = 332,843.57

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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.