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Finding the Third Proportional to 111,266 and 247,409

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Solution

The third proportional to 111,266 and 247,409 is: 550,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,266 : 247,409 = 247,409 : x
  2. Step 2: Convert to fraction form
    111,266/247,409 = 247,409/x
  3. Step 3: Cross multiply
    111,266x = 247,409 × 247,409
  4. Step 4: Simplify right side
    111,266x = 61,211,213,281
  5. Step 5: Solve for x
    x = 61,211,213,281/111,266
  6. Step 6: Final answer
    x = 550,134.03

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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.