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Finding the Third Proportional to 111,184 and 257,176

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Solution

The third proportional to 111,184 and 257,176 is: 594,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,184 : 257,176 = 257,176 : x
  2. Step 2: Convert to fraction form
    111,184/257,176 = 257,176/x
  3. Step 3: Cross multiply
    111,184x = 257,176 × 257,176
  4. Step 4: Simplify right side
    111,184x = 66,139,494,976
  5. Step 5: Solve for x
    x = 66,139,494,976/111,184
  6. Step 6: Final answer
    x = 594,865.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.