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Finding the Third Proportional to 152,751.75 and 231,668.25

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Solution

The third proportional to 152,751.75 and 231,668.25 is: 351,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,751.75 : 231,668.25 = 231,668.25 : x
  2. Step 2: Convert to fraction form
    152,751.75/231,668.25 = 231,668.25/x
  3. Step 3: Cross multiply
    152,751.75x = 231,668.25 × 231,668.25
  4. Step 4: Simplify right side
    152,751.75x = 53,670,178,058.06
  5. Step 5: Solve for x
    x = 53,670,178,058.06/152,751.75
  6. Step 6: Final answer
    x = 351,355.57

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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.