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Finding the Third Proportional to 176,096 and 380,907

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Solution

The third proportional to 176,096 and 380,907 is: 823,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,096 : 380,907 = 380,907 : x
  2. Step 2: Convert to fraction form
    176,096/380,907 = 380,907/x
  3. Step 3: Cross multiply
    176,096x = 380,907 × 380,907
  4. Step 4: Simplify right side
    176,096x = 145,090,142,649
  5. Step 5: Solve for x
    x = 145,090,142,649/176,096
  6. Step 6: Final answer
    x = 823,926.40

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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.