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Finding the Third Proportional to 156,617 and 237,112

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Solution

The third proportional to 156,617 and 237,112 is: 358,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,617 : 237,112 = 237,112 : x
  2. Step 2: Convert to fraction form
    156,617/237,112 = 237,112/x
  3. Step 3: Cross multiply
    156,617x = 237,112 × 237,112
  4. Step 4: Simplify right side
    156,617x = 56,222,100,544
  5. Step 5: Solve for x
    x = 56,222,100,544/156,617
  6. Step 6: Final answer
    x = 358,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.