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Finding the Third Proportional to 223,167 and 490,560

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Solution

The third proportional to 223,167 and 490,560 is: 1,078,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,167 : 490,560 = 490,560 : x
  2. Step 2: Convert to fraction form
    223,167/490,560 = 490,560/x
  3. Step 3: Cross multiply
    223,167x = 490,560 × 490,560
  4. Step 4: Simplify right side
    223,167x = 240,649,113,600
  5. Step 5: Solve for x
    x = 240,649,113,600/223,167
  6. Step 6: Final answer
    x = 1,078,336.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.