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Finding the Third Proportional to 177,606 and 380,484

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Solution

The third proportional to 177,606 and 380,484 is: 815,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,606 : 380,484 = 380,484 : x
  2. Step 2: Convert to fraction form
    177,606/380,484 = 380,484/x
  3. Step 3: Cross multiply
    177,606x = 380,484 × 380,484
  4. Step 4: Simplify right side
    177,606x = 144,768,074,256
  5. Step 5: Solve for x
    x = 144,768,074,256/177,606
  6. Step 6: Final answer
    x = 815,108.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.