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Finding the Third Proportional to 254,163 and 550,169

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Solution

The third proportional to 254,163 and 550,169 is: 1,190,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,163 : 550,169 = 550,169 : x
  2. Step 2: Convert to fraction form
    254,163/550,169 = 550,169/x
  3. Step 3: Cross multiply
    254,163x = 550,169 × 550,169
  4. Step 4: Simplify right side
    254,163x = 302,685,928,561
  5. Step 5: Solve for x
    x = 302,685,928,561/254,163
  6. Step 6: Final answer
    x = 1,190,912.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.