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Finding the Third Proportional to 181,190 and 426,329

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Solution

The third proportional to 181,190 and 426,329 is: 1,003,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,190 : 426,329 = 426,329 : x
  2. Step 2: Convert to fraction form
    181,190/426,329 = 426,329/x
  3. Step 3: Cross multiply
    181,190x = 426,329 × 426,329
  4. Step 4: Simplify right side
    181,190x = 181,756,416,241
  5. Step 5: Solve for x
    x = 181,756,416,241/181,190
  6. Step 6: Final answer
    x = 1,003,126.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.