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Finding the Third Proportional to 227,891 and 353,783

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Solution

The third proportional to 227,891 and 353,783 is: 549,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,891 : 353,783 = 353,783 : x
  2. Step 2: Convert to fraction form
    227,891/353,783 = 353,783/x
  3. Step 3: Cross multiply
    227,891x = 353,783 × 353,783
  4. Step 4: Simplify right side
    227,891x = 125,162,411,089
  5. Step 5: Solve for x
    x = 125,162,411,089/227,891
  6. Step 6: Final answer
    x = 549,220.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.