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Finding the Third Proportional to 207,262 and 309,610

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Solution

The third proportional to 207,262 and 309,610 is: 462,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,262 : 309,610 = 309,610 : x
  2. Step 2: Convert to fraction form
    207,262/309,610 = 309,610/x
  3. Step 3: Cross multiply
    207,262x = 309,610 × 309,610
  4. Step 4: Simplify right side
    207,262x = 95,858,352,100
  5. Step 5: Solve for x
    x = 95,858,352,100/207,262
  6. Step 6: Final answer
    x = 462,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.