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Finding the Third Proportional to 130,683 and 283,494

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Solution

The third proportional to 130,683 and 283,494 is: 614,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,683 : 283,494 = 283,494 : x
  2. Step 2: Convert to fraction form
    130,683/283,494 = 283,494/x
  3. Step 3: Cross multiply
    130,683x = 283,494 × 283,494
  4. Step 4: Simplify right side
    130,683x = 80,368,848,036
  5. Step 5: Solve for x
    x = 80,368,848,036/130,683
  6. Step 6: Final answer
    x = 614,990.84

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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.