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Finding the Third Proportional to 241,903.69 and 338,343.19

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Solution

The third proportional to 241,903.69 and 338,343.19 is: 473,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,903.69 : 338,343.19 = 338,343.19 : x
  2. Step 2: Convert to fraction form
    241,903.69/338,343.19 = 338,343.19/x
  3. Step 3: Cross multiply
    241,903.69x = 338,343.19 × 338,343.19
  4. Step 4: Simplify right side
    241,903.69x = 114,476,112,527.66
  5. Step 5: Solve for x
    x = 114,476,112,527.66/241,903.69
  6. Step 6: Final answer
    x = 473,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.