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Finding the Third Proportional to 152,575.50 and 236,247.75

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Solution

The third proportional to 152,575.50 and 236,247.75 is: 365,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,575.50 : 236,247.75 = 236,247.75 : x
  2. Step 2: Convert to fraction form
    152,575.50/236,247.75 = 236,247.75/x
  3. Step 3: Cross multiply
    152,575.50x = 236,247.75 × 236,247.75
  4. Step 4: Simplify right side
    152,575.50x = 55,812,999,380.06
  5. Step 5: Solve for x
    x = 55,812,999,380.06/152,575.50
  6. Step 6: Final answer
    x = 365,805.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.