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Finding the Third Proportional to 142,286 and 309,628

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Solution

The third proportional to 142,286 and 309,628 is: 673,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,286 : 309,628 = 309,628 : x
  2. Step 2: Convert to fraction form
    142,286/309,628 = 309,628/x
  3. Step 3: Cross multiply
    142,286x = 309,628 × 309,628
  4. Step 4: Simplify right side
    142,286x = 95,869,498,384
  5. Step 5: Solve for x
    x = 95,869,498,384/142,286
  6. Step 6: Final answer
    x = 673,780.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.