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Finding the Third Proportional to 281,187 and 401,814

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Solution

The third proportional to 281,187 and 401,814 is: 574,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,187 : 401,814 = 401,814 : x
  2. Step 2: Convert to fraction form
    281,187/401,814 = 401,814/x
  3. Step 3: Cross multiply
    281,187x = 401,814 × 401,814
  4. Step 4: Simplify right side
    281,187x = 161,454,490,596
  5. Step 5: Solve for x
    x = 161,454,490,596/281,187
  6. Step 6: Final answer
    x = 574,189.03

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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.