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Finding the Third Proportional to 157,027 and 343,390

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Solution

The third proportional to 157,027 and 343,390 is: 750,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,027 : 343,390 = 343,390 : x
  2. Step 2: Convert to fraction form
    157,027/343,390 = 343,390/x
  3. Step 3: Cross multiply
    157,027x = 343,390 × 343,390
  4. Step 4: Simplify right side
    157,027x = 117,916,692,100
  5. Step 5: Solve for x
    x = 117,916,692,100/157,027
  6. Step 6: Final answer
    x = 750,932.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.