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Finding the Third Proportional to 136,647 and 300,196

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Solution

The third proportional to 136,647 and 300,196 is: 659,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,647 : 300,196 = 300,196 : x
  2. Step 2: Convert to fraction form
    136,647/300,196 = 300,196/x
  3. Step 3: Cross multiply
    136,647x = 300,196 × 300,196
  4. Step 4: Simplify right side
    136,647x = 90,117,638,416
  5. Step 5: Solve for x
    x = 90,117,638,416/136,647
  6. Step 6: Final answer
    x = 659,492.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.