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Finding the Third Proportional to 174,885.75 and 265,749.19

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Solution

The third proportional to 174,885.75 and 265,749.19 is: 403,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885.75 : 265,749.19 = 265,749.19 : x
  2. Step 2: Convert to fraction form
    174,885.75/265,749.19 = 265,749.19/x
  3. Step 3: Cross multiply
    174,885.75x = 265,749.19 × 265,749.19
  4. Step 4: Simplify right side
    174,885.75x = 70,622,630,656.91
  5. Step 5: Solve for x
    x = 70,622,630,656.91/174,885.75
  6. Step 6: Final answer
    x = 403,821.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.