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Finding the Third Proportional to 128,317 and 279,211

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Solution

The third proportional to 128,317 and 279,211 is: 607,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,317 : 279,211 = 279,211 : x
  2. Step 2: Convert to fraction form
    128,317/279,211 = 279,211/x
  3. Step 3: Cross multiply
    128,317x = 279,211 × 279,211
  4. Step 4: Simplify right side
    128,317x = 77,958,782,521
  5. Step 5: Solve for x
    x = 77,958,782,521/128,317
  6. Step 6: Final answer
    x = 607,548.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.