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Finding the Third Proportional to 176,076 and 379,672

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Solution

The third proportional to 176,076 and 379,672 is: 818,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076 : 379,672 = 379,672 : x
  2. Step 2: Convert to fraction form
    176,076/379,672 = 379,672/x
  3. Step 3: Cross multiply
    176,076x = 379,672 × 379,672
  4. Step 4: Simplify right side
    176,076x = 144,150,827,584
  5. Step 5: Solve for x
    x = 144,150,827,584/176,076
  6. Step 6: Final answer
    x = 818,685.27

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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.