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Finding the Third Proportional to 111,260 and 231,724

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Solution

The third proportional to 111,260 and 231,724 is: 482,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,260 : 231,724 = 231,724 : x
  2. Step 2: Convert to fraction form
    111,260/231,724 = 231,724/x
  3. Step 3: Cross multiply
    111,260x = 231,724 × 231,724
  4. Step 4: Simplify right side
    111,260x = 53,696,012,176
  5. Step 5: Solve for x
    x = 53,696,012,176/111,260
  6. Step 6: Final answer
    x = 482,617.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.