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Finding the Third Proportional to 210,079 and 275,751

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Solution

The third proportional to 210,079 and 275,751 is: 361,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,079 : 275,751 = 275,751 : x
  2. Step 2: Convert to fraction form
    210,079/275,751 = 275,751/x
  3. Step 3: Cross multiply
    210,079x = 275,751 × 275,751
  4. Step 4: Simplify right side
    210,079x = 76,038,614,001
  5. Step 5: Solve for x
    x = 76,038,614,001/210,079
  6. Step 6: Final answer
    x = 361,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.