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Finding the Third Proportional to 177,652 and 230,484

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Solution

The third proportional to 177,652 and 230,484 is: 299,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,652 : 230,484 = 230,484 : x
  2. Step 2: Convert to fraction form
    177,652/230,484 = 230,484/x
  3. Step 3: Cross multiply
    177,652x = 230,484 × 230,484
  4. Step 4: Simplify right side
    177,652x = 53,122,874,256
  5. Step 5: Solve for x
    x = 53,122,874,256/177,652
  6. Step 6: Final answer
    x = 299,027.73

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.