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Finding the Third Proportional to 213,284 and 321,277.75

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Solution

The third proportional to 213,284 and 321,277.75 is: 483,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284 : 321,277.75 = 321,277.75 : x
  2. Step 2: Convert to fraction form
    213,284/321,277.75 = 321,277.75/x
  3. Step 3: Cross multiply
    213,284x = 321,277.75 × 321,277.75
  4. Step 4: Simplify right side
    213,284x = 103,219,392,645.06
  5. Step 5: Solve for x
    x = 103,219,392,645.06/213,284
  6. Step 6: Final answer
    x = 483,952.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.