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Finding the Third Proportional to 176,592 and 383,296

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Solution

The third proportional to 176,592 and 383,296 is: 831,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,592 : 383,296 = 383,296 : x
  2. Step 2: Convert to fraction form
    176,592/383,296 = 383,296/x
  3. Step 3: Cross multiply
    176,592x = 383,296 × 383,296
  4. Step 4: Simplify right side
    176,592x = 146,915,823,616
  5. Step 5: Solve for x
    x = 146,915,823,616/176,592
  6. Step 6: Final answer
    x = 831,950.62

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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.