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Finding the Third Proportional to 142,605 and 309,845

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Solution

The third proportional to 142,605 and 309,845 is: 673,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605 : 309,845 = 309,845 : x
  2. Step 2: Convert to fraction form
    142,605/309,845 = 309,845/x
  3. Step 3: Cross multiply
    142,605x = 309,845 × 309,845
  4. Step 4: Simplify right side
    142,605x = 96,003,924,025
  5. Step 5: Solve for x
    x = 96,003,924,025/142,605
  6. Step 6: Final answer
    x = 673,215.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.