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Finding the Third Proportional to 227,979.56 and 342,090.84

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Solution

The third proportional to 227,979.56 and 342,090.84 is: 513,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,979.56 : 342,090.84 = 342,090.84 : x
  2. Step 2: Convert to fraction form
    227,979.56/342,090.84 = 342,090.84/x
  3. Step 3: Cross multiply
    227,979.56x = 342,090.84 × 342,090.84
  4. Step 4: Simplify right side
    227,979.56x = 117,026,145,377.59
  5. Step 5: Solve for x
    x = 117,026,145,377.59/227,979.56
  6. Step 6: Final answer
    x = 513,318.58

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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.