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Finding the Third Proportional to 175,688 and 263,052

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Solution

The third proportional to 175,688 and 263,052 is: 393,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,688 : 263,052 = 263,052 : x
  2. Step 2: Convert to fraction form
    175,688/263,052 = 263,052/x
  3. Step 3: Cross multiply
    175,688x = 263,052 × 263,052
  4. Step 4: Simplify right side
    175,688x = 69,196,354,704
  5. Step 5: Solve for x
    x = 69,196,354,704/175,688
  6. Step 6: Final answer
    x = 393,859.31

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