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Finding the Third Proportional to 103,911 and 227,265

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Solution

The third proportional to 103,911 and 227,265 is: 497,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,911 : 227,265 = 227,265 : x
  2. Step 2: Convert to fraction form
    103,911/227,265 = 227,265/x
  3. Step 3: Cross multiply
    103,911x = 227,265 × 227,265
  4. Step 4: Simplify right side
    103,911x = 51,649,380,225
  5. Step 5: Solve for x
    x = 51,649,380,225/103,911
  6. Step 6: Final answer
    x = 497,054.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.