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Finding the Third Proportional to 130,682 and 283,492

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Solution

The third proportional to 130,682 and 283,492 is: 614,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682 : 283,492 = 283,492 : x
  2. Step 2: Convert to fraction form
    130,682/283,492 = 283,492/x
  3. Step 3: Cross multiply
    130,682x = 283,492 × 283,492
  4. Step 4: Simplify right side
    130,682x = 80,367,714,064
  5. Step 5: Solve for x
    x = 80,367,714,064/130,682
  6. Step 6: Final answer
    x = 614,986.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.