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Finding the Third Proportional to 223,148 and 485,668

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Solution

The third proportional to 223,148 and 485,668 is: 1,057,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,148 : 485,668 = 485,668 : x
  2. Step 2: Convert to fraction form
    223,148/485,668 = 485,668/x
  3. Step 3: Cross multiply
    223,148x = 485,668 × 485,668
  4. Step 4: Simplify right side
    223,148x = 235,873,406,224
  5. Step 5: Solve for x
    x = 235,873,406,224/223,148
  6. Step 6: Final answer
    x = 1,057,026.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.