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Finding the Third Proportional to 159,937 and 370,256

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Solution

The third proportional to 159,937 and 370,256 is: 857,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,937 : 370,256 = 370,256 : x
  2. Step 2: Convert to fraction form
    159,937/370,256 = 370,256/x
  3. Step 3: Cross multiply
    159,937x = 370,256 × 370,256
  4. Step 4: Simplify right side
    159,937x = 137,089,505,536
  5. Step 5: Solve for x
    x = 137,089,505,536/159,937
  6. Step 6: Final answer
    x = 857,146.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.