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Finding the Third Proportional to 142,744 and 313,732

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Solution

The third proportional to 142,744 and 313,732 is: 689,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744 : 313,732 = 313,732 : x
  2. Step 2: Convert to fraction form
    142,744/313,732 = 313,732/x
  3. Step 3: Cross multiply
    142,744x = 313,732 × 313,732
  4. Step 4: Simplify right side
    142,744x = 98,427,767,824
  5. Step 5: Solve for x
    x = 98,427,767,824/142,744
  6. Step 6: Final answer
    x = 689,540.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.