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Finding the Third Proportional to 188,310 and 413,944

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Solution

The third proportional to 188,310 and 413,944 is: 909,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,310 : 413,944 = 413,944 : x
  2. Step 2: Convert to fraction form
    188,310/413,944 = 413,944/x
  3. Step 3: Cross multiply
    188,310x = 413,944 × 413,944
  4. Step 4: Simplify right side
    188,310x = 171,349,635,136
  5. Step 5: Solve for x
    x = 171,349,635,136/188,310
  6. Step 6: Final answer
    x = 909,933.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.