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Finding the Third Proportional to 111,896 and 243,467.50

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Solution

The third proportional to 111,896 and 243,467.50 is: 529,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,896 : 243,467.50 = 243,467.50 : x
  2. Step 2: Convert to fraction form
    111,896/243,467.50 = 243,467.50/x
  3. Step 3: Cross multiply
    111,896x = 243,467.50 × 243,467.50
  4. Step 4: Simplify right side
    111,896x = 59,276,423,556.25
  5. Step 5: Solve for x
    x = 59,276,423,556.25/111,896
  6. Step 6: Final answer
    x = 529,745.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.