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Finding the Third Proportional to 214,596 and 319,356

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Solution

The third proportional to 214,596 and 319,356 is: 475,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596 : 319,356 = 319,356 : x
  2. Step 2: Convert to fraction form
    214,596/319,356 = 319,356/x
  3. Step 3: Cross multiply
    214,596x = 319,356 × 319,356
  4. Step 4: Simplify right side
    214,596x = 101,988,254,736
  5. Step 5: Solve for x
    x = 101,988,254,736/214,596
  6. Step 6: Final answer
    x = 475,257.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.