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Finding the Third Proportional to 149,713 and 238,094

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Solution

The third proportional to 149,713 and 238,094 is: 378,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713 : 238,094 = 238,094 : x
  2. Step 2: Convert to fraction form
    149,713/238,094 = 238,094/x
  3. Step 3: Cross multiply
    149,713x = 238,094 × 238,094
  4. Step 4: Simplify right side
    149,713x = 56,688,752,836
  5. Step 5: Solve for x
    x = 56,688,752,836/149,713
  6. Step 6: Final answer
    x = 378,649.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.