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Finding the Third Proportional to 238,440 and 334,218

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Solution

The third proportional to 238,440 and 334,218 is: 468,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,440 : 334,218 = 334,218 : x
  2. Step 2: Convert to fraction form
    238,440/334,218 = 334,218/x
  3. Step 3: Cross multiply
    238,440x = 334,218 × 334,218
  4. Step 4: Simplify right side
    238,440x = 111,701,671,524
  5. Step 5: Solve for x
    x = 111,701,671,524/238,440
  6. Step 6: Final answer
    x = 468,468.68

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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.