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Finding the Third Proportional to 200,057 and 309,670

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Solution

The third proportional to 200,057 and 309,670 is: 479,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,057 : 309,670 = 309,670 : x
  2. Step 2: Convert to fraction form
    200,057/309,670 = 309,670/x
  3. Step 3: Cross multiply
    200,057x = 309,670 × 309,670
  4. Step 4: Simplify right side
    200,057x = 95,895,508,900
  5. Step 5: Solve for x
    x = 95,895,508,900/200,057
  6. Step 6: Final answer
    x = 479,340.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.