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Finding the Third Proportional to 227,912 and 353,814

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Solution

The third proportional to 227,912 and 353,814 is: 549,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,912 : 353,814 = 353,814 : x
  2. Step 2: Convert to fraction form
    227,912/353,814 = 353,814/x
  3. Step 3: Cross multiply
    227,912x = 353,814 × 353,814
  4. Step 4: Simplify right side
    227,912x = 125,184,346,596
  5. Step 5: Solve for x
    x = 125,184,346,596/227,912
  6. Step 6: Final answer
    x = 549,266.15

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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.