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Finding the Third Proportional to 157,016 and 339,168

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Solution

The third proportional to 157,016 and 339,168 is: 732,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,016 : 339,168 = 339,168 : x
  2. Step 2: Convert to fraction form
    157,016/339,168 = 339,168/x
  3. Step 3: Cross multiply
    157,016x = 339,168 × 339,168
  4. Step 4: Simplify right side
    157,016x = 115,034,932,224
  5. Step 5: Solve for x
    x = 115,034,932,224/157,016
  6. Step 6: Final answer
    x = 732,631.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.