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Finding the Third Proportional to 106,350 and 232,016

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Solution

The third proportional to 106,350 and 232,016 is: 506,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,350 : 232,016 = 232,016 : x
  2. Step 2: Convert to fraction form
    106,350/232,016 = 232,016/x
  3. Step 3: Cross multiply
    106,350x = 232,016 × 232,016
  4. Step 4: Simplify right side
    106,350x = 53,831,424,256
  5. Step 5: Solve for x
    x = 53,831,424,256/106,350
  6. Step 6: Final answer
    x = 506,172.30

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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.