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Finding the Third Proportional to 149,089 and 298,054

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Solution

The third proportional to 149,089 and 298,054 is: 595,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,089 : 298,054 = 298,054 : x
  2. Step 2: Convert to fraction form
    149,089/298,054 = 298,054/x
  3. Step 3: Cross multiply
    149,089x = 298,054 × 298,054
  4. Step 4: Simplify right side
    149,089x = 88,836,186,916
  5. Step 5: Solve for x
    x = 88,836,186,916/149,089
  6. Step 6: Final answer
    x = 595,860.10

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.