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Finding the Third Proportional to 130,093 and 283,763

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Solution

The third proportional to 130,093 and 283,763 is: 618,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,093 : 283,763 = 283,763 : x
  2. Step 2: Convert to fraction form
    130,093/283,763 = 283,763/x
  3. Step 3: Cross multiply
    130,093x = 283,763 × 283,763
  4. Step 4: Simplify right side
    130,093x = 80,521,440,169
  5. Step 5: Solve for x
    x = 80,521,440,169/130,093
  6. Step 6: Final answer
    x = 618,952.90

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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.