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Finding the Third Proportional to 151,728 and 337,152

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Solution

The third proportional to 151,728 and 337,152 is: 749,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728 : 337,152 = 337,152 : x
  2. Step 2: Convert to fraction form
    151,728/337,152 = 337,152/x
  3. Step 3: Cross multiply
    151,728x = 337,152 × 337,152
  4. Step 4: Simplify right side
    151,728x = 113,671,471,104
  5. Step 5: Solve for x
    x = 113,671,471,104/151,728
  6. Step 6: Final answer
    x = 749,179.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.