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Finding the Third Proportional to 106,568 and 233,440

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Solution

The third proportional to 106,568 and 233,440 is: 511,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 233,440 = 233,440 : x
  2. Step 2: Convert to fraction form
    106,568/233,440 = 233,440/x
  3. Step 3: Cross multiply
    106,568x = 233,440 × 233,440
  4. Step 4: Simplify right side
    106,568x = 54,494,233,600
  5. Step 5: Solve for x
    x = 54,494,233,600/106,568
  6. Step 6: Final answer
    x = 511,356.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.