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Finding the Third Proportional to 157,512 and 349,692

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Solution

The third proportional to 157,512 and 349,692 is: 776,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,512 : 349,692 = 349,692 : x
  2. Step 2: Convert to fraction form
    157,512/349,692 = 349,692/x
  3. Step 3: Cross multiply
    157,512x = 349,692 × 349,692
  4. Step 4: Simplify right side
    157,512x = 122,284,494,864
  5. Step 5: Solve for x
    x = 122,284,494,864/157,512
  6. Step 6: Final answer
    x = 776,350.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.