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Finding the Third Proportional to 152,401.50 and 231,639.75

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Solution

The third proportional to 152,401.50 and 231,639.75 is: 352,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,401.50 : 231,639.75 = 231,639.75 : x
  2. Step 2: Convert to fraction form
    152,401.50/231,639.75 = 231,639.75/x
  3. Step 3: Cross multiply
    152,401.50x = 231,639.75 × 231,639.75
  4. Step 4: Simplify right side
    152,401.50x = 53,656,973,780.06
  5. Step 5: Solve for x
    x = 53,656,973,780.06/152,401.50
  6. Step 6: Final answer
    x = 352,076.42

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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.