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Finding the Third Proportional to 238,227.75 and 357,422.63

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Solution

The third proportional to 238,227.75 and 357,422.63 is: 536,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,227.75 : 357,422.63 = 357,422.63 : x
  2. Step 2: Convert to fraction form
    238,227.75/357,422.63 = 357,422.63/x
  3. Step 3: Cross multiply
    238,227.75x = 357,422.63 × 357,422.63
  4. Step 4: Simplify right side
    238,227.75x = 127,750,932,861.89
  5. Step 5: Solve for x
    x = 127,750,932,861.89/238,227.75
  6. Step 6: Final answer
    x = 536,255.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.