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Finding the Third Proportional to 195,324 and 418,296

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Solution

The third proportional to 195,324 and 418,296 is: 895,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,324 : 418,296 = 418,296 : x
  2. Step 2: Convert to fraction form
    195,324/418,296 = 418,296/x
  3. Step 3: Cross multiply
    195,324x = 418,296 × 418,296
  4. Step 4: Simplify right side
    195,324x = 174,971,543,616
  5. Step 5: Solve for x
    x = 174,971,543,616/195,324
  6. Step 6: Final answer
    x = 895,801.56

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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.