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Finding the Third Proportional to 210,408 and 295,954

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Solution

The third proportional to 210,408 and 295,954 is: 416,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,408 : 295,954 = 295,954 : x
  2. Step 2: Convert to fraction form
    210,408/295,954 = 295,954/x
  3. Step 3: Cross multiply
    210,408x = 295,954 × 295,954
  4. Step 4: Simplify right side
    210,408x = 87,588,770,116
  5. Step 5: Solve for x
    x = 87,588,770,116/210,408
  6. Step 6: Final answer
    x = 416,280.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.