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Finding the Third Proportional to 138,834 and 304,164

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Solution

The third proportional to 138,834 and 304,164 is: 666,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834 : 304,164 = 304,164 : x
  2. Step 2: Convert to fraction form
    138,834/304,164 = 304,164/x
  3. Step 3: Cross multiply
    138,834x = 304,164 × 304,164
  4. Step 4: Simplify right side
    138,834x = 92,515,738,896
  5. Step 5: Solve for x
    x = 92,515,738,896/138,834
  6. Step 6: Final answer
    x = 666,376.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.