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Finding the Third Proportional to 119,461.50 and 256,632.75

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Solution

The third proportional to 119,461.50 and 256,632.75 is: 551,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,461.50 : 256,632.75 = 256,632.75 : x
  2. Step 2: Convert to fraction form
    119,461.50/256,632.75 = 256,632.75/x
  3. Step 3: Cross multiply
    119,461.50x = 256,632.75 × 256,632.75
  4. Step 4: Simplify right side
    119,461.50x = 65,860,368,372.56
  5. Step 5: Solve for x
    x = 65,860,368,372.56/119,461.50
  6. Step 6: Final answer
    x = 551,310.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.