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Finding the Third Proportional to 149,085 and 298,048

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Solution

The third proportional to 149,085 and 298,048 is: 595,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,085 : 298,048 = 298,048 : x
  2. Step 2: Convert to fraction form
    149,085/298,048 = 298,048/x
  3. Step 3: Cross multiply
    149,085x = 298,048 × 298,048
  4. Step 4: Simplify right side
    149,085x = 88,832,610,304
  5. Step 5: Solve for x
    x = 88,832,610,304/149,085
  6. Step 6: Final answer
    x = 595,852.10

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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.