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Finding the Third Proportional to 177,453 and 383,337

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Solution

The third proportional to 177,453 and 383,337 is: 828,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 383,337 = 383,337 : x
  2. Step 2: Convert to fraction form
    177,453/383,337 = 383,337/x
  3. Step 3: Cross multiply
    177,453x = 383,337 × 383,337
  4. Step 4: Simplify right side
    177,453x = 146,947,255,569
  5. Step 5: Solve for x
    x = 146,947,255,569/177,453
  6. Step 6: Final answer
    x = 828,091.13

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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.