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Finding the Third Proportional to 115,938 and 244,330

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Solution

The third proportional to 115,938 and 244,330 is: 514,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,938 : 244,330 = 244,330 : x
  2. Step 2: Convert to fraction form
    115,938/244,330 = 244,330/x
  3. Step 3: Cross multiply
    115,938x = 244,330 × 244,330
  4. Step 4: Simplify right side
    115,938x = 59,697,148,900
  5. Step 5: Solve for x
    x = 59,697,148,900/115,938
  6. Step 6: Final answer
    x = 514,905.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.