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Finding the Third Proportional to 176,220 and 381,114

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Solution

The third proportional to 176,220 and 381,114 is: 824,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,220 : 381,114 = 381,114 : x
  2. Step 2: Convert to fraction form
    176,220/381,114 = 381,114/x
  3. Step 3: Cross multiply
    176,220x = 381,114 × 381,114
  4. Step 4: Simplify right side
    176,220x = 145,247,880,996
  5. Step 5: Solve for x
    x = 145,247,880,996/176,220
  6. Step 6: Final answer
    x = 824,241.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.