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Finding the Third Proportional to 177,615 and 380,502

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Solution

The third proportional to 177,615 and 380,502 is: 815,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,615 : 380,502 = 380,502 : x
  2. Step 2: Convert to fraction form
    177,615/380,502 = 380,502/x
  3. Step 3: Cross multiply
    177,615x = 380,502 × 380,502
  4. Step 4: Simplify right side
    177,615x = 144,781,772,004
  5. Step 5: Solve for x
    x = 144,781,772,004/177,615
  6. Step 6: Final answer
    x = 815,143.83

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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.