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Finding the Third Proportional to 238,700 and 334,611

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Solution

The third proportional to 238,700 and 334,611 is: 469,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,700 : 334,611 = 334,611 : x
  2. Step 2: Convert to fraction form
    238,700/334,611 = 334,611/x
  3. Step 3: Cross multiply
    238,700x = 334,611 × 334,611
  4. Step 4: Simplify right side
    238,700x = 111,964,521,321
  5. Step 5: Solve for x
    x = 111,964,521,321/238,700
  6. Step 6: Final answer
    x = 469,059.58

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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.