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Finding the Third Proportional to 195,922 and 427,364

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Solution

The third proportional to 195,922 and 427,364 is: 932,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,922 : 427,364 = 427,364 : x
  2. Step 2: Convert to fraction form
    195,922/427,364 = 427,364/x
  3. Step 3: Cross multiply
    195,922x = 427,364 × 427,364
  4. Step 4: Simplify right side
    195,922x = 182,639,988,496
  5. Step 5: Solve for x
    x = 182,639,988,496/195,922
  6. Step 6: Final answer
    x = 932,207.66

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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.