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Finding the Third Proportional to 202,217 and 301,378

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Solution

The third proportional to 202,217 and 301,378 is: 449,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,217 : 301,378 = 301,378 : x
  2. Step 2: Convert to fraction form
    202,217/301,378 = 301,378/x
  3. Step 3: Cross multiply
    202,217x = 301,378 × 301,378
  4. Step 4: Simplify right side
    202,217x = 90,828,698,884
  5. Step 5: Solve for x
    x = 90,828,698,884/202,217
  6. Step 6: Final answer
    x = 449,164.51

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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.