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Finding the Third Proportional to 175,920 and 384,100

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Solution

The third proportional to 175,920 and 384,100 is: 838,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,920 : 384,100 = 384,100 : x
  2. Step 2: Convert to fraction form
    175,920/384,100 = 384,100/x
  3. Step 3: Cross multiply
    175,920x = 384,100 × 384,100
  4. Step 4: Simplify right side
    175,920x = 147,532,810,000
  5. Step 5: Solve for x
    x = 147,532,810,000/175,920
  6. Step 6: Final answer
    x = 838,635.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.