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Finding the Third Proportional to 230,144.63 and 492,270.75

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Solution

The third proportional to 230,144.63 and 492,270.75 is: 1,052,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,144.63 : 492,270.75 = 492,270.75 : x
  2. Step 2: Convert to fraction form
    230,144.63/492,270.75 = 492,270.75/x
  3. Step 3: Cross multiply
    230,144.63x = 492,270.75 × 492,270.75
  4. Step 4: Simplify right side
    230,144.63x = 242,330,491,305.56
  5. Step 5: Solve for x
    x = 242,330,491,305.56/230,144.63
  6. Step 6: Final answer
    x = 1,052,948.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.