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Finding the Third Proportional to 281,288 and 375,753

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Solution

The third proportional to 281,288 and 375,753 is: 501,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,288 : 375,753 = 375,753 : x
  2. Step 2: Convert to fraction form
    281,288/375,753 = 375,753/x
  3. Step 3: Cross multiply
    281,288x = 375,753 × 375,753
  4. Step 4: Simplify right side
    281,288x = 141,190,317,009
  5. Step 5: Solve for x
    x = 141,190,317,009/281,288
  6. Step 6: Final answer
    x = 501,942.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.