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Finding the Third Proportional to 225,812 and 338,736

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Solution

The third proportional to 225,812 and 338,736 is: 508,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812 : 338,736 = 338,736 : x
  2. Step 2: Convert to fraction form
    225,812/338,736 = 338,736/x
  3. Step 3: Cross multiply
    225,812x = 338,736 × 338,736
  4. Step 4: Simplify right side
    225,812x = 114,742,077,696
  5. Step 5: Solve for x
    x = 114,742,077,696/225,812
  6. Step 6: Final answer
    x = 508,131.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.