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Finding the Third Proportional to 106,683 and 230,427

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Solution

The third proportional to 106,683 and 230,427 is: 497,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,683 : 230,427 = 230,427 : x
  2. Step 2: Convert to fraction form
    106,683/230,427 = 230,427/x
  3. Step 3: Cross multiply
    106,683x = 230,427 × 230,427
  4. Step 4: Simplify right side
    106,683x = 53,096,602,329
  5. Step 5: Solve for x
    x = 53,096,602,329/106,683
  6. Step 6: Final answer
    x = 497,704.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.