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Finding the Third Proportional to 181,475.44 and 281,576.25

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Solution

The third proportional to 181,475.44 and 281,576.25 is: 436,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,475.44 : 281,576.25 = 281,576.25 : x
  2. Step 2: Convert to fraction form
    181,475.44/281,576.25 = 281,576.25/x
  3. Step 3: Cross multiply
    181,475.44x = 281,576.25 × 281,576.25
  4. Step 4: Simplify right side
    181,475.44x = 79,285,184,564.06
  5. Step 5: Solve for x
    x = 79,285,184,564.06/181,475.44
  6. Step 6: Final answer
    x = 436,892.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.