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Finding the Third Proportional to 281,185.13 and 401,811

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Solution

The third proportional to 281,185.13 and 401,811 is: 574,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,185.13 : 401,811 = 401,811 : x
  2. Step 2: Convert to fraction form
    281,185.13/401,811 = 401,811/x
  3. Step 3: Cross multiply
    281,185.13x = 401,811 × 401,811
  4. Step 4: Simplify right side
    281,185.13x = 161,452,079,721
  5. Step 5: Solve for x
    x = 161,452,079,721/281,185.13
  6. Step 6: Final answer
    x = 574,184.28

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Why These Related Problems?

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