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Finding the Third Proportional to 106,881 and 233,445

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Solution

The third proportional to 106,881 and 233,445 is: 509,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881 : 233,445 = 233,445 : x
  2. Step 2: Convert to fraction form
    106,881/233,445 = 233,445/x
  3. Step 3: Cross multiply
    106,881x = 233,445 × 233,445
  4. Step 4: Simplify right side
    106,881x = 54,496,568,025
  5. Step 5: Solve for x
    x = 54,496,568,025/106,881
  6. Step 6: Final answer
    x = 509,880.78

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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.