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Finding the Third Proportional to 201,340.69 and 241,800.19

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Solution

The third proportional to 201,340.69 and 241,800.19 is: 290,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,340.69 : 241,800.19 = 241,800.19 : x
  2. Step 2: Convert to fraction form
    201,340.69/241,800.19 = 241,800.19/x
  3. Step 3: Cross multiply
    201,340.69x = 241,800.19 × 241,800.19
  4. Step 4: Simplify right side
    201,340.69x = 58,467,330,675.04
  5. Step 5: Solve for x
    x = 58,467,330,675.04/201,340.69
  6. Step 6: Final answer
    x = 290,390.04

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.