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Finding the Third Proportional to 241,286 and 354,900

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Solution

The third proportional to 241,286 and 354,900 is: 522,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,286 : 354,900 = 354,900 : x
  2. Step 2: Convert to fraction form
    241,286/354,900 = 354,900/x
  3. Step 3: Cross multiply
    241,286x = 354,900 × 354,900
  4. Step 4: Simplify right side
    241,286x = 125,954,010,000
  5. Step 5: Solve for x
    x = 125,954,010,000/241,286
  6. Step 6: Final answer
    x = 522,011.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.