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Finding the Third Proportional to 238,473 and 334,243

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Solution

The third proportional to 238,473 and 334,243 is: 468,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,473 : 334,243 = 334,243 : x
  2. Step 2: Convert to fraction form
    238,473/334,243 = 334,243/x
  3. Step 3: Cross multiply
    238,473x = 334,243 × 334,243
  4. Step 4: Simplify right side
    238,473x = 111,718,383,049
  5. Step 5: Solve for x
    x = 111,718,383,049/238,473
  6. Step 6: Final answer
    x = 468,473.93

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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.