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Finding the Third Proportional to 211,898.25 and 320,007.38

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Solution

The third proportional to 211,898.25 and 320,007.38 is: 483,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,898.25 : 320,007.38 = 320,007.38 : x
  2. Step 2: Convert to fraction form
    211,898.25/320,007.38 = 320,007.38/x
  3. Step 3: Cross multiply
    211,898.25x = 320,007.38 × 320,007.38
  4. Step 4: Simplify right side
    211,898.25x = 102,404,720,054.39
  5. Step 5: Solve for x
    x = 102,404,720,054.39/211,898.25
  6. Step 6: Final answer
    x = 483,273.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.