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Finding the Third Proportional to 176,064 and 380,190

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Solution

The third proportional to 176,064 and 380,190 is: 820,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064 : 380,190 = 380,190 : x
  2. Step 2: Convert to fraction form
    176,064/380,190 = 380,190/x
  3. Step 3: Cross multiply
    176,064x = 380,190 × 380,190
  4. Step 4: Simplify right side
    176,064x = 144,544,436,100
  5. Step 5: Solve for x
    x = 144,544,436,100/176,064
  6. Step 6: Final answer
    x = 820,976.67

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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.