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Finding the Third Proportional to 181,171.69 and 385,671.38

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Solution

The third proportional to 181,171.69 and 385,671.38 is: 821,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,171.69 : 385,671.38 = 385,671.38 : x
  2. Step 2: Convert to fraction form
    181,171.69/385,671.38 = 385,671.38/x
  3. Step 3: Cross multiply
    181,171.69x = 385,671.38 × 385,671.38
  4. Step 4: Simplify right side
    181,171.69x = 148,742,409,494.39
  5. Step 5: Solve for x
    x = 148,742,409,494.39/181,171.69
  6. Step 6: Final answer
    x = 821,002.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.