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Finding the Third Proportional to 213,438 and 309,135

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Solution

The third proportional to 213,438 and 309,135 is: 447,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,438 : 309,135 = 309,135 : x
  2. Step 2: Convert to fraction form
    213,438/309,135 = 309,135/x
  3. Step 3: Cross multiply
    213,438x = 309,135 × 309,135
  4. Step 4: Simplify right side
    213,438x = 95,564,448,225
  5. Step 5: Solve for x
    x = 95,564,448,225/213,438
  6. Step 6: Final answer
    x = 447,738.68

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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.