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Finding the Third Proportional to 152,803.13 and 231,747.75

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Solution

The third proportional to 152,803.13 and 231,747.75 is: 351,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,803.13 : 231,747.75 = 231,747.75 : x
  2. Step 2: Convert to fraction form
    152,803.13/231,747.75 = 231,747.75/x
  3. Step 3: Cross multiply
    152,803.13x = 231,747.75 × 231,747.75
  4. Step 4: Simplify right side
    152,803.13x = 53,707,019,630.06
  5. Step 5: Solve for x
    x = 53,707,019,630.06/152,803.13
  6. Step 6: Final answer
    x = 351,478.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.