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Finding the Third Proportional to 210,134.25 and 275,835.38

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Solution

The third proportional to 210,134.25 and 275,835.38 is: 362,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,134.25 : 275,835.38 = 275,835.38 : x
  2. Step 2: Convert to fraction form
    210,134.25/275,835.38 = 275,835.38/x
  3. Step 3: Cross multiply
    210,134.25x = 275,835.38 × 275,835.38
  4. Step 4: Simplify right side
    210,134.25x = 76,085,154,101.39
  5. Step 5: Solve for x
    x = 76,085,154,101.39/210,134.25
  6. Step 6: Final answer
    x = 362,078.79

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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.