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Finding the Third Proportional to 174,543 and 380,190

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Solution

The third proportional to 174,543 and 380,190 is: 828,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,543 : 380,190 = 380,190 : x
  2. Step 2: Convert to fraction form
    174,543/380,190 = 380,190/x
  3. Step 3: Cross multiply
    174,543x = 380,190 × 380,190
  4. Step 4: Simplify right side
    174,543x = 144,544,436,100
  5. Step 5: Solve for x
    x = 144,544,436,100/174,543
  6. Step 6: Final answer
    x = 828,130.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.