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Finding the Third Proportional to 142,682 and 337,430

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Solution

The third proportional to 142,682 and 337,430 is: 797,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,682 : 337,430 = 337,430 : x
  2. Step 2: Convert to fraction form
    142,682/337,430 = 337,430/x
  3. Step 3: Cross multiply
    142,682x = 337,430 × 337,430
  4. Step 4: Simplify right side
    142,682x = 113,859,004,900
  5. Step 5: Solve for x
    x = 113,859,004,900/142,682
  6. Step 6: Final answer
    x = 797,991.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.