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Finding the Third Proportional to 114,337 and 248,450

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Solution

The third proportional to 114,337 and 248,450 is: 539,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,337 : 248,450 = 248,450 : x
  2. Step 2: Convert to fraction form
    114,337/248,450 = 248,450/x
  3. Step 3: Cross multiply
    114,337x = 248,450 × 248,450
  4. Step 4: Simplify right side
    114,337x = 61,727,402,500
  5. Step 5: Solve for x
    x = 61,727,402,500/114,337
  6. Step 6: Final answer
    x = 539,872.50

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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.