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Finding the Third Proportional to 170,184 and 255,200

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Solution

The third proportional to 170,184 and 255,200 is: 382,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,184 : 255,200 = 255,200 : x
  2. Step 2: Convert to fraction form
    170,184/255,200 = 255,200/x
  3. Step 3: Cross multiply
    170,184x = 255,200 × 255,200
  4. Step 4: Simplify right side
    170,184x = 65,127,040,000
  5. Step 5: Solve for x
    x = 65,127,040,000/170,184
  6. Step 6: Final answer
    x = 382,686.03

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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.