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Finding the Third Proportional to 241,912.69 and 384,320.81

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Solution

The third proportional to 241,912.69 and 384,320.81 is: 610,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,912.69 : 384,320.81 = 384,320.81 : x
  2. Step 2: Convert to fraction form
    241,912.69/384,320.81 = 384,320.81/x
  3. Step 3: Cross multiply
    241,912.69x = 384,320.81 × 384,320.81
  4. Step 4: Simplify right side
    241,912.69x = 147,702,486,920.66
  5. Step 5: Solve for x
    x = 147,702,486,920.66/241,912.69
  6. Step 6: Final answer
    x = 610,561.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.