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Finding the Third Proportional to 238,460 and 334,224

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Solution

The third proportional to 238,460 and 334,224 is: 468,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,460 : 334,224 = 334,224 : x
  2. Step 2: Convert to fraction form
    238,460/334,224 = 334,224/x
  3. Step 3: Cross multiply
    238,460x = 334,224 × 334,224
  4. Step 4: Simplify right side
    238,460x = 111,705,682,176
  5. Step 5: Solve for x
    x = 111,705,682,176/238,460
  6. Step 6: Final answer
    x = 468,446.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.