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Finding the Third Proportional to 106,938 and 230,454

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Solution

The third proportional to 106,938 and 230,454 is: 496,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938 : 230,454 = 230,454 : x
  2. Step 2: Convert to fraction form
    106,938/230,454 = 230,454/x
  3. Step 3: Cross multiply
    106,938x = 230,454 × 230,454
  4. Step 4: Simplify right side
    106,938x = 53,109,046,116
  5. Step 5: Solve for x
    x = 53,109,046,116/106,938
  6. Step 6: Final answer
    x = 496,633.99

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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.