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Finding the Third Proportional to 195,253 and 406,057

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Solution

The third proportional to 195,253 and 406,057 is: 844,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,253 : 406,057 = 406,057 : x
  2. Step 2: Convert to fraction form
    195,253/406,057 = 406,057/x
  3. Step 3: Cross multiply
    195,253x = 406,057 × 406,057
  4. Step 4: Simplify right side
    195,253x = 164,882,287,249
  5. Step 5: Solve for x
    x = 164,882,287,249/195,253
  6. Step 6: Final answer
    x = 844,454.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.