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Finding the Third Proportional to 238,140.50 and 328,050.75

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Solution

The third proportional to 238,140.50 and 328,050.75 is: 451,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,140.50 : 328,050.75 = 328,050.75 : x
  2. Step 2: Convert to fraction form
    238,140.50/328,050.75 = 328,050.75/x
  3. Step 3: Cross multiply
    238,140.50x = 328,050.75 × 328,050.75
  4. Step 4: Simplify right side
    238,140.50x = 107,617,294,575.56
  5. Step 5: Solve for x
    x = 107,617,294,575.56/238,140.50
  6. Step 6: Final answer
    x = 451,906.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.