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Finding the Third Proportional to 130,257 and 283,923

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Solution

The third proportional to 130,257 and 283,923 is: 618,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,257 : 283,923 = 283,923 : x
  2. Step 2: Convert to fraction form
    130,257/283,923 = 283,923/x
  3. Step 3: Cross multiply
    130,257x = 283,923 × 283,923
  4. Step 4: Simplify right side
    130,257x = 80,612,269,929
  5. Step 5: Solve for x
    x = 80,612,269,929/130,257
  6. Step 6: Final answer
    x = 618,870.92

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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.