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Finding the Third Proportional to 157,846 and 335,407

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Solution

The third proportional to 157,846 and 335,407 is: 712,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,846 : 335,407 = 335,407 : x
  2. Step 2: Convert to fraction form
    157,846/335,407 = 335,407/x
  3. Step 3: Cross multiply
    157,846x = 335,407 × 335,407
  4. Step 4: Simplify right side
    157,846x = 112,497,855,649
  5. Step 5: Solve for x
    x = 112,497,855,649/157,846
  6. Step 6: Final answer
    x = 712,706.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.