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Finding the Third Proportional to 195,322 and 418,291

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Solution

The third proportional to 195,322 and 418,291 is: 895,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,322 : 418,291 = 418,291 : x
  2. Step 2: Convert to fraction form
    195,322/418,291 = 418,291/x
  3. Step 3: Cross multiply
    195,322x = 418,291 × 418,291
  4. Step 4: Simplify right side
    195,322x = 174,967,360,681
  5. Step 5: Solve for x
    x = 174,967,360,681/195,322
  6. Step 6: Final answer
    x = 895,789.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.