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Finding the Third Proportional to 195,920 and 427,360

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Solution

The third proportional to 195,920 and 427,360 is: 932,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,920 : 427,360 = 427,360 : x
  2. Step 2: Convert to fraction form
    195,920/427,360 = 427,360/x
  3. Step 3: Cross multiply
    195,920x = 427,360 × 427,360
  4. Step 4: Simplify right side
    195,920x = 182,636,569,600
  5. Step 5: Solve for x
    x = 182,636,569,600/195,920
  6. Step 6: Final answer
    x = 932,199.72

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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.