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Finding the Third Proportional to 202,097.53 and 441,388.69

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Solution

The third proportional to 202,097.53 and 441,388.69 is: 964,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.53 : 441,388.69 = 441,388.69 : x
  2. Step 2: Convert to fraction form
    202,097.53/441,388.69 = 441,388.69/x
  3. Step 3: Cross multiply
    202,097.53x = 441,388.69 × 441,388.69
  4. Step 4: Simplify right side
    202,097.53x = 194,823,973,452.97
  5. Step 5: Solve for x
    x = 194,823,973,452.97/202,097.53
  6. Step 6: Final answer
    x = 964,009.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.