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Finding the Third Proportional to 175,680 and 263,040

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Solution

The third proportional to 175,680 and 263,040 is: 393,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,680 : 263,040 = 263,040 : x
  2. Step 2: Convert to fraction form
    175,680/263,040 = 263,040/x
  3. Step 3: Cross multiply
    175,680x = 263,040 × 263,040
  4. Step 4: Simplify right side
    175,680x = 69,190,041,600
  5. Step 5: Solve for x
    x = 69,190,041,600/175,680
  6. Step 6: Final answer
    x = 393,841.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.