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Finding the Third Proportional to 121,849 and 282,058

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Solution

The third proportional to 121,849 and 282,058 is: 652,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,849 : 282,058 = 282,058 : x
  2. Step 2: Convert to fraction form
    121,849/282,058 = 282,058/x
  3. Step 3: Cross multiply
    121,849x = 282,058 × 282,058
  4. Step 4: Simplify right side
    121,849x = 79,556,715,364
  5. Step 5: Solve for x
    x = 79,556,715,364/121,849
  6. Step 6: Final answer
    x = 652,912.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.