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Finding the Third Proportional to 185,763 and 295,219

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Solution

The third proportional to 185,763 and 295,219 is: 469,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,763 : 295,219 = 295,219 : x
  2. Step 2: Convert to fraction form
    185,763/295,219 = 295,219/x
  3. Step 3: Cross multiply
    185,763x = 295,219 × 295,219
  4. Step 4: Simplify right side
    185,763x = 87,154,257,961
  5. Step 5: Solve for x
    x = 87,154,257,961/185,763
  6. Step 6: Final answer
    x = 469,169.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.