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Finding the Third Proportional to 115,848 and 252,984

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Solution

The third proportional to 115,848 and 252,984 is: 552,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,848 : 252,984 = 252,984 : x
  2. Step 2: Convert to fraction form
    115,848/252,984 = 252,984/x
  3. Step 3: Cross multiply
    115,848x = 252,984 × 252,984
  4. Step 4: Simplify right side
    115,848x = 64,000,904,256
  5. Step 5: Solve for x
    x = 64,000,904,256/115,848
  6. Step 6: Final answer
    x = 552,455.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.