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Finding the Third Proportional to 174,985 and 262,615

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Solution

The third proportional to 174,985 and 262,615 is: 394,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 262,615 = 262,615 : x
  2. Step 2: Convert to fraction form
    174,985/262,615 = 262,615/x
  3. Step 3: Cross multiply
    174,985x = 262,615 × 262,615
  4. Step 4: Simplify right side
    174,985x = 68,966,638,225
  5. Step 5: Solve for x
    x = 68,966,638,225/174,985
  6. Step 6: Final answer
    x = 394,128.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.