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Finding the Third Proportional to 175,512 and 264,848

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Solution

The third proportional to 175,512 and 264,848 is: 399,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,512 : 264,848 = 264,848 : x
  2. Step 2: Convert to fraction form
    175,512/264,848 = 264,848/x
  3. Step 3: Cross multiply
    175,512x = 264,848 × 264,848
  4. Step 4: Simplify right side
    175,512x = 70,144,463,104
  5. Step 5: Solve for x
    x = 70,144,463,104/175,512
  6. Step 6: Final answer
    x = 399,656.22

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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.