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Finding the Third Proportional to 102,955 and 225,593

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Solution

The third proportional to 102,955 and 225,593 is: 494,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,955 : 225,593 = 225,593 : x
  2. Step 2: Convert to fraction form
    102,955/225,593 = 225,593/x
  3. Step 3: Cross multiply
    102,955x = 225,593 × 225,593
  4. Step 4: Simplify right side
    102,955x = 50,892,201,649
  5. Step 5: Solve for x
    x = 50,892,201,649/102,955
  6. Step 6: Final answer
    x = 494,315.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.