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Finding the Third Proportional to 133,048 and 295,657

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Solution

The third proportional to 133,048 and 295,657 is: 657,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 295,657 = 295,657 : x
  2. Step 2: Convert to fraction form
    133,048/295,657 = 295,657/x
  3. Step 3: Cross multiply
    133,048x = 295,657 × 295,657
  4. Step 4: Simplify right side
    133,048x = 87,413,061,649
  5. Step 5: Solve for x
    x = 87,413,061,649/133,048
  6. Step 6: Final answer
    x = 657,003.95

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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.