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Finding the Third Proportional to 114,048 and 248,184

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Solution

The third proportional to 114,048 and 248,184 is: 540,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,048 : 248,184 = 248,184 : x
  2. Step 2: Convert to fraction form
    114,048/248,184 = 248,184/x
  3. Step 3: Cross multiply
    114,048x = 248,184 × 248,184
  4. Step 4: Simplify right side
    114,048x = 61,595,297,856
  5. Step 5: Solve for x
    x = 61,595,297,856/114,048
  6. Step 6: Final answer
    x = 540,082.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.