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Finding the Third Proportional to 181,625.63 and 283,476.38

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Solution

The third proportional to 181,625.63 and 283,476.38 is: 442,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,625.63 : 283,476.38 = 283,476.38 : x
  2. Step 2: Convert to fraction form
    181,625.63/283,476.38 = 283,476.38/x
  3. Step 3: Cross multiply
    181,625.63x = 283,476.38 × 283,476.38
  4. Step 4: Simplify right side
    181,625.63x = 80,358,855,183.14
  5. Step 5: Solve for x
    x = 80,358,855,183.14/181,625.63
  6. Step 6: Final answer
    x = 442,442.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.