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Finding the Third Proportional to 165,196 and 262,564

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Solution

The third proportional to 165,196 and 262,564 is: 417,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,196 : 262,564 = 262,564 : x
  2. Step 2: Convert to fraction form
    165,196/262,564 = 262,564/x
  3. Step 3: Cross multiply
    165,196x = 262,564 × 262,564
  4. Step 4: Simplify right side
    165,196x = 68,939,854,096
  5. Step 5: Solve for x
    x = 68,939,854,096/165,196
  6. Step 6: Final answer
    x = 417,321.57

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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.