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Finding the Third Proportional to 174,817 and 383,330

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Solution

The third proportional to 174,817 and 383,330 is: 840,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,817 : 383,330 = 383,330 : x
  2. Step 2: Convert to fraction form
    174,817/383,330 = 383,330/x
  3. Step 3: Cross multiply
    174,817x = 383,330 × 383,330
  4. Step 4: Simplify right side
    174,817x = 146,941,888,900
  5. Step 5: Solve for x
    x = 146,941,888,900/174,817
  6. Step 6: Final answer
    x = 840,546.91

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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.