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Finding the Third Proportional to 149,087 and 298,052

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Solution

The third proportional to 149,087 and 298,052 is: 595,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,087 : 298,052 = 298,052 : x
  2. Step 2: Convert to fraction form
    149,087/298,052 = 298,052/x
  3. Step 3: Cross multiply
    149,087x = 298,052 × 298,052
  4. Step 4: Simplify right side
    149,087x = 88,834,994,704
  5. Step 5: Solve for x
    x = 88,834,994,704/149,087
  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.