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Finding the Third Proportional to 111,600 and 248,029.50

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Solution

The third proportional to 111,600 and 248,029.50 is: 551,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,600 : 248,029.50 = 248,029.50 : x
  2. Step 2: Convert to fraction form
    111,600/248,029.50 = 248,029.50/x
  3. Step 3: Cross multiply
    111,600x = 248,029.50 × 248,029.50
  4. Step 4: Simplify right side
    111,600x = 61,518,632,870.25
  5. Step 5: Solve for x
    x = 61,518,632,870.25/111,600
  6. Step 6: Final answer
    x = 551,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.