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Finding the Third Proportional to 119,138 and 238,264

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Solution

The third proportional to 119,138 and 238,264 is: 476,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138 : 238,264 = 238,264 : x
  2. Step 2: Convert to fraction form
    119,138/238,264 = 238,264/x
  3. Step 3: Cross multiply
    119,138x = 238,264 × 238,264
  4. Step 4: Simplify right side
    119,138x = 56,769,733,696
  5. Step 5: Solve for x
    x = 56,769,733,696/119,138
  6. Step 6: Final answer
    x = 476,504.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.