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Finding the Third Proportional to 175,116 and 263,970

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Solution

The third proportional to 175,116 and 263,970 is: 397,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,116 : 263,970 = 263,970 : x
  2. Step 2: Convert to fraction form
    175,116/263,970 = 263,970/x
  3. Step 3: Cross multiply
    175,116x = 263,970 × 263,970
  4. Step 4: Simplify right side
    175,116x = 69,680,160,900
  5. Step 5: Solve for x
    x = 69,680,160,900/175,116
  6. Step 6: Final answer
    x = 397,908.59

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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.