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Finding the Third Proportional to 281,184 and 400,741.50

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Solution

The third proportional to 281,184 and 400,741.50 is: 571,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,184 : 400,741.50 = 400,741.50 : x
  2. Step 2: Convert to fraction form
    281,184/400,741.50 = 400,741.50/x
  3. Step 3: Cross multiply
    281,184x = 400,741.50 × 400,741.50
  4. Step 4: Simplify right side
    281,184x = 160,593,749,822.25
  5. Step 5: Solve for x
    x = 160,593,749,822.25/281,184
  6. Step 6: Final answer
    x = 571,134.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.