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Finding the Third Proportional to 142,859 and 338,450

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Solution

The third proportional to 142,859 and 338,450 is: 801,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859 : 338,450 = 338,450 : x
  2. Step 2: Convert to fraction form
    142,859/338,450 = 338,450/x
  3. Step 3: Cross multiply
    142,859x = 338,450 × 338,450
  4. Step 4: Simplify right side
    142,859x = 114,548,402,500
  5. Step 5: Solve for x
    x = 114,548,402,500/142,859
  6. Step 6: Final answer
    x = 801,828.39

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.