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Finding the Third Proportional to 174,624.75 and 383,544

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Solution

The third proportional to 174,624.75 and 383,544 is: 842,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,624.75 : 383,544 = 383,544 : x
  2. Step 2: Convert to fraction form
    174,624.75/383,544 = 383,544/x
  3. Step 3: Cross multiply
    174,624.75x = 383,544 × 383,544
  4. Step 4: Simplify right side
    174,624.75x = 147,105,999,936
  5. Step 5: Solve for x
    x = 147,105,999,936/174,624.75
  6. Step 6: Final answer
    x = 842,412.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.