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Finding the Third Proportional to 264,138 and 550,164

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Solution

The third proportional to 264,138 and 550,164 is: 1,145,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,138 : 550,164 = 550,164 : x
  2. Step 2: Convert to fraction form
    264,138/550,164 = 550,164/x
  3. Step 3: Cross multiply
    264,138x = 550,164 × 550,164
  4. Step 4: Simplify right side
    264,138x = 302,680,426,896
  5. Step 5: Solve for x
    x = 302,680,426,896/264,138
  6. Step 6: Final answer
    x = 1,145,917.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.