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Finding the Third Proportional to 281,900 and 386,562

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Solution

The third proportional to 281,900 and 386,562 is: 530,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,900 : 386,562 = 386,562 : x
  2. Step 2: Convert to fraction form
    281,900/386,562 = 386,562/x
  3. Step 3: Cross multiply
    281,900x = 386,562 × 386,562
  4. Step 4: Simplify right side
    281,900x = 149,430,179,844
  5. Step 5: Solve for x
    x = 149,430,179,844/281,900
  6. Step 6: Final answer
    x = 530,082.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.