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Finding the Third Proportional to 115,842 and 253,848

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Solution

The third proportional to 115,842 and 253,848 is: 556,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,842 : 253,848 = 253,848 : x
  2. Step 2: Convert to fraction form
    115,842/253,848 = 253,848/x
  3. Step 3: Cross multiply
    115,842x = 253,848 × 253,848
  4. Step 4: Simplify right side
    115,842x = 64,438,807,104
  5. Step 5: Solve for x
    x = 64,438,807,104/115,842
  6. Step 6: Final answer
    x = 556,264.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.