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Finding the Third Proportional to 114,733 and 248,530

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Solution

The third proportional to 114,733 and 248,530 is: 538,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,733 : 248,530 = 248,530 : x
  2. Step 2: Convert to fraction form
    114,733/248,530 = 248,530/x
  3. Step 3: Cross multiply
    114,733x = 248,530 × 248,530
  4. Step 4: Simplify right side
    114,733x = 61,767,160,900
  5. Step 5: Solve for x
    x = 61,767,160,900/114,733
  6. Step 6: Final answer
    x = 538,355.67

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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.