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Finding the Third Proportional to 174,852 and 383,328

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Solution

The third proportional to 174,852 and 383,328 is: 840,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,852 : 383,328 = 383,328 : x
  2. Step 2: Convert to fraction form
    174,852/383,328 = 383,328/x
  3. Step 3: Cross multiply
    174,852x = 383,328 × 383,328
  4. Step 4: Simplify right side
    174,852x = 146,940,355,584
  5. Step 5: Solve for x
    x = 146,940,355,584/174,852
  6. Step 6: Final answer
    x = 840,369.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.