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Finding the Third Proportional to 196,374.38 and 300,268.27

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Solution

The third proportional to 196,374.38 and 300,268.27 is: 459,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.38 : 300,268.27 = 300,268.27 : x
  2. Step 2: Convert to fraction form
    196,374.38/300,268.27 = 300,268.27/x
  3. Step 3: Cross multiply
    196,374.38x = 300,268.27 × 300,268.27
  4. Step 4: Simplify right side
    196,374.38x = 90,161,031,341.45
  5. Step 5: Solve for x
    x = 90,161,031,341.45/196,374.38
  6. Step 6: Final answer
    x = 459,128.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.