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Finding the Third Proportional to 155,838 and 336,279

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Solution

The third proportional to 155,838 and 336,279 is: 725,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,838 : 336,279 = 336,279 : x
  2. Step 2: Convert to fraction form
    155,838/336,279 = 336,279/x
  3. Step 3: Cross multiply
    155,838x = 336,279 × 336,279
  4. Step 4: Simplify right side
    155,838x = 113,083,565,841
  5. Step 5: Solve for x
    x = 113,083,565,841/155,838
  6. Step 6: Final answer
    x = 725,648.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.