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Finding the Third Proportional to 126,663 and 270,263

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Solution

The third proportional to 126,663 and 270,263 is: 576,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,663 : 270,263 = 270,263 : x
  2. Step 2: Convert to fraction form
    126,663/270,263 = 270,263/x
  3. Step 3: Cross multiply
    126,663x = 270,263 × 270,263
  4. Step 4: Simplify right side
    126,663x = 73,042,089,169
  5. Step 5: Solve for x
    x = 73,042,089,169/126,663
  6. Step 6: Final answer
    x = 576,664.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.