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Finding the Third Proportional to 170,242 and 269,441

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Solution

The third proportional to 170,242 and 269,441 is: 426,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,242 : 269,441 = 269,441 : x
  2. Step 2: Convert to fraction form
    170,242/269,441 = 269,441/x
  3. Step 3: Cross multiply
    170,242x = 269,441 × 269,441
  4. Step 4: Simplify right side
    170,242x = 72,598,452,481
  5. Step 5: Solve for x
    x = 72,598,452,481/170,242
  6. Step 6: Final answer
    x = 426,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.