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Finding the Third Proportional to 157,086 and 343,494

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Solution

The third proportional to 157,086 and 343,494 is: 751,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086 : 343,494 = 343,494 : x
  2. Step 2: Convert to fraction form
    157,086/343,494 = 343,494/x
  3. Step 3: Cross multiply
    157,086x = 343,494 × 343,494
  4. Step 4: Simplify right side
    157,086x = 117,988,128,036
  5. Step 5: Solve for x
    x = 117,988,128,036/157,086
  6. Step 6: Final answer
    x = 751,105.31

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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.