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Finding the Third Proportional to 111,911 and 241,695

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Solution

The third proportional to 111,911 and 241,695 is: 521,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,911 : 241,695 = 241,695 : x
  2. Step 2: Convert to fraction form
    111,911/241,695 = 241,695/x
  3. Step 3: Cross multiply
    111,911x = 241,695 × 241,695
  4. Step 4: Simplify right side
    111,911x = 58,416,473,025
  5. Step 5: Solve for x
    x = 58,416,473,025/111,911
  6. Step 6: Final answer
    x = 521,990.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.