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Finding the Third Proportional to 145,752 and 303,936

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Solution

The third proportional to 145,752 and 303,936 is: 633,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,752 : 303,936 = 303,936 : x
  2. Step 2: Convert to fraction form
    145,752/303,936 = 303,936/x
  3. Step 3: Cross multiply
    145,752x = 303,936 × 303,936
  4. Step 4: Simplify right side
    145,752x = 92,377,092,096
  5. Step 5: Solve for x
    x = 92,377,092,096/145,752
  6. Step 6: Final answer
    x = 633,796.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.