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Finding the Third Proportional to 115,925 and 244,302

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Solution

The third proportional to 115,925 and 244,302 is: 514,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,925 : 244,302 = 244,302 : x
  2. Step 2: Convert to fraction form
    115,925/244,302 = 244,302/x
  3. Step 3: Cross multiply
    115,925x = 244,302 × 244,302
  4. Step 4: Simplify right side
    115,925x = 59,683,467,204
  5. Step 5: Solve for x
    x = 59,683,467,204/115,925
  6. Step 6: Final answer
    x = 514,845.52

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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.