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Finding the Third Proportional to 169,620 and 269,414

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Solution

The third proportional to 169,620 and 269,414 is: 427,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,620 : 269,414 = 269,414 : x
  2. Step 2: Convert to fraction form
    169,620/269,414 = 269,414/x
  3. Step 3: Cross multiply
    169,620x = 269,414 × 269,414
  4. Step 4: Simplify right side
    169,620x = 72,583,903,396
  5. Step 5: Solve for x
    x = 72,583,903,396/169,620
  6. Step 6: Final answer
    x = 427,920.67

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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.