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Finding the Third Proportional to 238,516 and 334,276

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Solution

The third proportional to 238,516 and 334,276 is: 468,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,516 : 334,276 = 334,276 : x
  2. Step 2: Convert to fraction form
    238,516/334,276 = 334,276/x
  3. Step 3: Cross multiply
    238,516x = 334,276 × 334,276
  4. Step 4: Simplify right side
    238,516x = 111,740,444,176
  5. Step 5: Solve for x
    x = 111,740,444,176/238,516
  6. Step 6: Final answer
    x = 468,481.96

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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.