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Finding the Third Proportional to 121,398 and 264,936

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Solution

The third proportional to 121,398 and 264,936 is: 578,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398 : 264,936 = 264,936 : x
  2. Step 2: Convert to fraction form
    121,398/264,936 = 264,936/x
  3. Step 3: Cross multiply
    121,398x = 264,936 × 264,936
  4. Step 4: Simplify right side
    121,398x = 70,191,084,096
  5. Step 5: Solve for x
    x = 70,191,084,096/121,398
  6. Step 6: Final answer
    x = 578,189.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.