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Finding the Third Proportional to 210,195.38 and 461,268.75

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Solution

The third proportional to 210,195.38 and 461,268.75 is: 1,012,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,195.38 : 461,268.75 = 461,268.75 : x
  2. Step 2: Convert to fraction form
    210,195.38/461,268.75 = 461,268.75/x
  3. Step 3: Cross multiply
    210,195.38x = 461,268.75 × 461,268.75
  4. Step 4: Simplify right side
    210,195.38x = 212,768,859,726.56
  5. Step 5: Solve for x
    x = 212,768,859,726.56/210,195.38
  6. Step 6: Final answer
    x = 1,012,243.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.