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Finding the Third Proportional to 111,291.19 and 262,451.06

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Solution

The third proportional to 111,291.19 and 262,451.06 is: 618,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,291.19 : 262,451.06 = 262,451.06 : x
  2. Step 2: Convert to fraction form
    111,291.19/262,451.06 = 262,451.06/x
  3. Step 3: Cross multiply
    111,291.19x = 262,451.06 × 262,451.06
  4. Step 4: Simplify right side
    111,291.19x = 68,880,560,207.38
  5. Step 5: Solve for x
    x = 68,880,560,207.38/111,291.19
  6. Step 6: Final answer
    x = 618,921.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.