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Finding the Third Proportional to 176,323 and 379,160

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Solution

The third proportional to 176,323 and 379,160 is: 815,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,323 : 379,160 = 379,160 : x
  2. Step 2: Convert to fraction form
    176,323/379,160 = 379,160/x
  3. Step 3: Cross multiply
    176,323x = 379,160 × 379,160
  4. Step 4: Simplify right side
    176,323x = 143,762,305,600
  5. Step 5: Solve for x
    x = 143,762,305,600/176,323
  6. Step 6: Final answer
    x = 815,334.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.