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Finding the Third Proportional to 238,485 and 334,257

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Solution

The third proportional to 238,485 and 334,257 is: 468,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,485 : 334,257 = 334,257 : x
  2. Step 2: Convert to fraction form
    238,485/334,257 = 334,257/x
  3. Step 3: Cross multiply
    238,485x = 334,257 × 334,257
  4. Step 4: Simplify right side
    238,485x = 111,727,742,049
  5. Step 5: Solve for x
    x = 111,727,742,049/238,485
  6. Step 6: Final answer
    x = 468,489.60

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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.