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Finding the Third Proportional to 111,260 and 241,396

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Solution

The third proportional to 111,260 and 241,396 is: 523,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,260 : 241,396 = 241,396 : x
  2. Step 2: Convert to fraction form
    111,260/241,396 = 241,396/x
  3. Step 3: Cross multiply
    111,260x = 241,396 × 241,396
  4. Step 4: Simplify right side
    111,260x = 58,272,028,816
  5. Step 5: Solve for x
    x = 58,272,028,816/111,260
  6. Step 6: Final answer
    x = 523,746.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.