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Finding the Third Proportional to 254,081.81 and 374,111.16

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Solution

The third proportional to 254,081.81 and 374,111.16 is: 550,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,081.81 : 374,111.16 = 374,111.16 : x
  2. Step 2: Convert to fraction form
    254,081.81/374,111.16 = 374,111.16/x
  3. Step 3: Cross multiply
    254,081.81x = 374,111.16 × 374,111.16
  4. Step 4: Simplify right side
    254,081.81x = 139,959,157,230.71
  5. Step 5: Solve for x
    x = 139,959,157,230.71/254,081.81
  6. Step 6: Final answer
    x = 550,842.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.