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Finding the Third Proportional to 157,256 and 335,504

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Solution

The third proportional to 157,256 and 335,504 is: 715,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,256 : 335,504 = 335,504 : x
  2. Step 2: Convert to fraction form
    157,256/335,504 = 335,504/x
  3. Step 3: Cross multiply
    157,256x = 335,504 × 335,504
  4. Step 4: Simplify right side
    157,256x = 112,562,934,016
  5. Step 5: Solve for x
    x = 112,562,934,016/157,256
  6. Step 6: Final answer
    x = 715,794.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.