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Finding the Third Proportional to 227,292.75 and 336,541.50

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Solution

The third proportional to 227,292.75 and 336,541.50 is: 498,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,292.75 : 336,541.50 = 336,541.50 : x
  2. Step 2: Convert to fraction form
    227,292.75/336,541.50 = 336,541.50/x
  3. Step 3: Cross multiply
    227,292.75x = 336,541.50 × 336,541.50
  4. Step 4: Simplify right side
    227,292.75x = 113,260,181,222.25
  5. Step 5: Solve for x
    x = 113,260,181,222.25/227,292.75
  6. Step 6: Final answer
    x = 498,300.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.