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Finding the Third Proportional to 212,918 and 319,383

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Solution

The third proportional to 212,918 and 319,383 is: 479,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,918 : 319,383 = 319,383 : x
  2. Step 2: Convert to fraction form
    212,918/319,383 = 319,383/x
  3. Step 3: Cross multiply
    212,918x = 319,383 × 319,383
  4. Step 4: Simplify right side
    212,918x = 102,005,500,689
  5. Step 5: Solve for x
    x = 102,005,500,689/212,918
  6. Step 6: Final answer
    x = 479,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.