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Finding the Third Proportional to 137,484.75 and 293,112.75

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Solution

The third proportional to 137,484.75 and 293,112.75 is: 624,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484.75 : 293,112.75 = 293,112.75 : x
  2. Step 2: Convert to fraction form
    137,484.75/293,112.75 = 293,112.75/x
  3. Step 3: Cross multiply
    137,484.75x = 293,112.75 × 293,112.75
  4. Step 4: Simplify right side
    137,484.75x = 85,915,084,212.56
  5. Step 5: Solve for x
    x = 85,915,084,212.56/137,484.75
  6. Step 6: Final answer
    x = 624,906.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.