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Finding the Third Proportional to 319,496 and 350,216

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Solution

The third proportional to 319,496 and 350,216 is: 383,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,496 : 350,216 = 350,216 : x
  2. Step 2: Convert to fraction form
    319,496/350,216 = 350,216/x
  3. Step 3: Cross multiply
    319,496x = 350,216 × 350,216
  4. Step 4: Simplify right side
    319,496x = 122,651,246,656
  5. Step 5: Solve for x
    x = 122,651,246,656/319,496
  6. Step 6: Final answer
    x = 383,889.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.