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Finding the Third Proportional to 130,082 and 283,738

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Solution

The third proportional to 130,082 and 283,738 is: 618,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,082 : 283,738 = 283,738 : x
  2. Step 2: Convert to fraction form
    130,082/283,738 = 283,738/x
  3. Step 3: Cross multiply
    130,082x = 283,738 × 283,738
  4. Step 4: Simplify right side
    130,082x = 80,507,252,644
  5. Step 5: Solve for x
    x = 80,507,252,644/130,082
  6. Step 6: Final answer
    x = 618,896.18

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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.