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Finding the Third Proportional to 210,006 and 275,643

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Solution

The third proportional to 210,006 and 275,643 is: 361,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006 : 275,643 = 275,643 : x
  2. Step 2: Convert to fraction form
    210,006/275,643 = 275,643/x
  3. Step 3: Cross multiply
    210,006x = 275,643 × 275,643
  4. Step 4: Simplify right side
    210,006x = 75,979,063,449
  5. Step 5: Solve for x
    x = 75,979,063,449/210,006
  6. Step 6: Final answer
    x = 361,794.73

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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.