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Finding the Third Proportional to 175,657 and 263,005

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Solution

The third proportional to 175,657 and 263,005 is: 393,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,657 : 263,005 = 263,005 : x
  2. Step 2: Convert to fraction form
    175,657/263,005 = 263,005/x
  3. Step 3: Cross multiply
    175,657x = 263,005 × 263,005
  4. Step 4: Simplify right side
    175,657x = 69,171,630,025
  5. Step 5: Solve for x
    x = 69,171,630,025/175,657
  6. Step 6: Final answer
    x = 393,788.06

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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.