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Finding the Third Proportional to 165,248 and 262,635

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Solution

The third proportional to 165,248 and 262,635 is: 417,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,248 : 262,635 = 262,635 : x
  2. Step 2: Convert to fraction form
    165,248/262,635 = 262,635/x
  3. Step 3: Cross multiply
    165,248x = 262,635 × 262,635
  4. Step 4: Simplify right side
    165,248x = 68,977,143,225
  5. Step 5: Solve for x
    x = 68,977,143,225/165,248
  6. Step 6: Final answer
    x = 417,415.90

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Why These Related Problems?

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