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Finding the Third Proportional to 169,884 and 255,252

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Solution

The third proportional to 169,884 and 255,252 is: 383,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,884 : 255,252 = 255,252 : x
  2. Step 2: Convert to fraction form
    169,884/255,252 = 255,252/x
  3. Step 3: Cross multiply
    169,884x = 255,252 × 255,252
  4. Step 4: Simplify right side
    169,884x = 65,153,583,504
  5. Step 5: Solve for x
    x = 65,153,583,504/169,884
  6. Step 6: Final answer
    x = 383,518.07

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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.