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Finding the Third Proportional to 114,858 and 248,166

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Solution

The third proportional to 114,858 and 248,166 is: 536,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,858 : 248,166 = 248,166 : x
  2. Step 2: Convert to fraction form
    114,858/248,166 = 248,166/x
  3. Step 3: Cross multiply
    114,858x = 248,166 × 248,166
  4. Step 4: Simplify right side
    114,858x = 61,586,363,556
  5. Step 5: Solve for x
    x = 61,586,363,556/114,858
  6. Step 6: Final answer
    x = 536,195.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.