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Finding the Third Proportional to 106,938 and 234,287

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Solution

The third proportional to 106,938 and 234,287 is: 513,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938 : 234,287 = 234,287 : x
  2. Step 2: Convert to fraction form
    106,938/234,287 = 234,287/x
  3. Step 3: Cross multiply
    106,938x = 234,287 × 234,287
  4. Step 4: Simplify right side
    106,938x = 54,890,398,369
  5. Step 5: Solve for x
    x = 54,890,398,369/106,938
  6. Step 6: Final answer
    x = 513,291.80

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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.