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Finding the Third Proportional to 195,924 and 427,368

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Solution

The third proportional to 195,924 and 427,368 is: 932,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,924 : 427,368 = 427,368 : x
  2. Step 2: Convert to fraction form
    195,924/427,368 = 427,368/x
  3. Step 3: Cross multiply
    195,924x = 427,368 × 427,368
  4. Step 4: Simplify right side
    195,924x = 182,643,407,424
  5. Step 5: Solve for x
    x = 182,643,407,424/195,924
  6. Step 6: Final answer
    x = 932,215.59

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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.