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Finding the Third Proportional to 195,228 and 427,848

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Solution

The third proportional to 195,228 and 427,848 is: 937,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,228 : 427,848 = 427,848 : x
  2. Step 2: Convert to fraction form
    195,228/427,848 = 427,848/x
  3. Step 3: Cross multiply
    195,228x = 427,848 × 427,848
  4. Step 4: Simplify right side
    195,228x = 183,053,911,104
  5. Step 5: Solve for x
    x = 183,053,911,104/195,228
  6. Step 6: Final answer
    x = 937,641.69

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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.