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Finding the Third Proportional to 114,871 and 248,191

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Solution

The third proportional to 114,871 and 248,191 is: 536,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,871 : 248,191 = 248,191 : x
  2. Step 2: Convert to fraction form
    114,871/248,191 = 248,191/x
  3. Step 3: Cross multiply
    114,871x = 248,191 × 248,191
  4. Step 4: Simplify right side
    114,871x = 61,598,772,481
  5. Step 5: Solve for x
    x = 61,598,772,481/114,871
  6. Step 6: Final answer
    x = 536,243.02

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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.