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Finding the Third Proportional to 111,306 and 241,484

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Solution

The third proportional to 111,306 and 241,484 is: 523,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,306 : 241,484 = 241,484 : x
  2. Step 2: Convert to fraction form
    111,306/241,484 = 241,484/x
  3. Step 3: Cross multiply
    111,306x = 241,484 × 241,484
  4. Step 4: Simplify right side
    111,306x = 58,314,522,256
  5. Step 5: Solve for x
    x = 58,314,522,256/111,306
  6. Step 6: Final answer
    x = 523,911.76

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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.