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Finding the Third Proportional to 213,670 and 309,481

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Solution

The third proportional to 213,670 and 309,481 is: 448,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,670 : 309,481 = 309,481 : x
  2. Step 2: Convert to fraction form
    213,670/309,481 = 309,481/x
  3. Step 3: Cross multiply
    213,670x = 309,481 × 309,481
  4. Step 4: Simplify right side
    213,670x = 95,778,489,361
  5. Step 5: Solve for x
    x = 95,778,489,361/213,670
  6. Step 6: Final answer
    x = 448,254.27

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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.