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Finding the Third Proportional to 194,868 and 285,390

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Solution

The third proportional to 194,868 and 285,390 is: 417,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,868 : 285,390 = 285,390 : x
  2. Step 2: Convert to fraction form
    194,868/285,390 = 285,390/x
  3. Step 3: Cross multiply
    194,868x = 285,390 × 285,390
  4. Step 4: Simplify right side
    194,868x = 81,447,452,100
  5. Step 5: Solve for x
    x = 81,447,452,100/194,868
  6. Step 6: Final answer
    x = 417,962.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.