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Finding the Third Proportional to 175,220 and 383,610

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Solution

The third proportional to 175,220 and 383,610 is: 839,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,220 : 383,610 = 383,610 : x
  2. Step 2: Convert to fraction form
    175,220/383,610 = 383,610/x
  3. Step 3: Cross multiply
    175,220x = 383,610 × 383,610
  4. Step 4: Simplify right side
    175,220x = 147,156,632,100
  5. Step 5: Solve for x
    x = 147,156,632,100/175,220
  6. Step 6: Final answer
    x = 839,839.24

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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.