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Finding the Third Proportional to 174,672 and 263,457

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Solution

The third proportional to 174,672 and 263,457 is: 397,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 263,457 = 263,457 : x
  2. Step 2: Convert to fraction form
    174,672/263,457 = 263,457/x
  3. Step 3: Cross multiply
    174,672x = 263,457 × 263,457
  4. Step 4: Simplify right side
    174,672x = 69,409,590,849
  5. Step 5: Solve for x
    x = 69,409,590,849/174,672
  6. Step 6: Final answer
    x = 397,371.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.