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Finding the Third Proportional to 143,698 and 309,010

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Solution

The third proportional to 143,698 and 309,010 is: 664,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,698 : 309,010 = 309,010 : x
  2. Step 2: Convert to fraction form
    143,698/309,010 = 309,010/x
  3. Step 3: Cross multiply
    143,698x = 309,010 × 309,010
  4. Step 4: Simplify right side
    143,698x = 95,487,180,100
  5. Step 5: Solve for x
    x = 95,487,180,100/143,698
  6. Step 6: Final answer
    x = 664,499.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.