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Finding the Third Proportional to 137,728 and 295,544

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Solution

The third proportional to 137,728 and 295,544 is: 634,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728 : 295,544 = 295,544 : x
  2. Step 2: Convert to fraction form
    137,728/295,544 = 295,544/x
  3. Step 3: Cross multiply
    137,728x = 295,544 × 295,544
  4. Step 4: Simplify right side
    137,728x = 87,346,255,936
  5. Step 5: Solve for x
    x = 87,346,255,936/137,728
  6. Step 6: Final answer
    x = 634,193.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.