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Finding the Third Proportional to 114,500 and 248,059

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Solution

The third proportional to 114,500 and 248,059 is: 537,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,500 : 248,059 = 248,059 : x
  2. Step 2: Convert to fraction form
    114,500/248,059 = 248,059/x
  3. Step 3: Cross multiply
    114,500x = 248,059 × 248,059
  4. Step 4: Simplify right side
    114,500x = 61,533,267,481
  5. Step 5: Solve for x
    x = 61,533,267,481/114,500
  6. Step 6: Final answer
    x = 537,408.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.