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Finding the Third Proportional to 176,576 and 383,253

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Solution

The third proportional to 176,576 and 383,253 is: 831,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,576 : 383,253 = 383,253 : x
  2. Step 2: Convert to fraction form
    176,576/383,253 = 383,253/x
  3. Step 3: Cross multiply
    176,576x = 383,253 × 383,253
  4. Step 4: Simplify right side
    176,576x = 146,882,862,009
  5. Step 5: Solve for x
    x = 146,882,862,009/176,576
  6. Step 6: Final answer
    x = 831,839.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.