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Finding the Third Proportional to 152,750.25 and 231,665.63

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Solution

The third proportional to 152,750.25 and 231,665.63 is: 351,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,750.25 : 231,665.63 = 231,665.63 : x
  2. Step 2: Convert to fraction form
    152,750.25/231,665.63 = 231,665.63/x
  3. Step 3: Cross multiply
    152,750.25x = 231,665.63 × 231,665.63
  4. Step 4: Simplify right side
    152,750.25x = 53,668,961,806.64
  5. Step 5: Solve for x
    x = 53,668,961,806.64/152,750.25
  6. Step 6: Final answer
    x = 351,351.06

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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.