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Finding the Third Proportional to 170,467 and 255,700

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Solution

The third proportional to 170,467 and 255,700 is: 383,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,467 : 255,700 = 255,700 : x
  2. Step 2: Convert to fraction form
    170,467/255,700 = 255,700/x
  3. Step 3: Cross multiply
    170,467x = 255,700 × 255,700
  4. Step 4: Simplify right side
    170,467x = 65,382,490,000
  5. Step 5: Solve for x
    x = 65,382,490,000/170,467
  6. Step 6: Final answer
    x = 383,549.25

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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.