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Finding the Third Proportional to 157,077 and 370,761

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Solution

The third proportional to 157,077 and 370,761 is: 875,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 370,761 = 370,761 : x
  2. Step 2: Convert to fraction form
    157,077/370,761 = 370,761/x
  3. Step 3: Cross multiply
    157,077x = 370,761 × 370,761
  4. Step 4: Simplify right side
    157,077x = 137,463,719,121
  5. Step 5: Solve for x
    x = 137,463,719,121/157,077
  6. Step 6: Final answer
    x = 875,135.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.