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Finding the Third Proportional to 213,669 and 309,479.50

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Solution

The third proportional to 213,669 and 309,479.50 is: 448,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,669 : 309,479.50 = 309,479.50 : x
  2. Step 2: Convert to fraction form
    213,669/309,479.50 = 309,479.50/x
  3. Step 3: Cross multiply
    213,669x = 309,479.50 × 309,479.50
  4. Step 4: Simplify right side
    213,669x = 95,777,560,920.25
  5. Step 5: Solve for x
    x = 95,777,560,920.25/213,669
  6. Step 6: Final answer
    x = 448,252.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.