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Finding the Third Proportional to 130,333 and 283,993

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Solution

The third proportional to 130,333 and 283,993 is: 618,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,333 : 283,993 = 283,993 : x
  2. Step 2: Convert to fraction form
    130,333/283,993 = 283,993/x
  3. Step 3: Cross multiply
    130,333x = 283,993 × 283,993
  4. Step 4: Simplify right side
    130,333x = 80,652,024,049
  5. Step 5: Solve for x
    x = 80,652,024,049/130,333
  6. Step 6: Final answer
    x = 618,815.07

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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.