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Finding the Third Proportional to 168,453.11 and 364,915.76

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Solution

The third proportional to 168,453.11 and 364,915.76 is: 790,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,453.11 : 364,915.76 = 364,915.76 : x
  2. Step 2: Convert to fraction form
    168,453.11/364,915.76 = 364,915.76/x
  3. Step 3: Cross multiply
    168,453.11x = 364,915.76 × 364,915.76
  4. Step 4: Simplify right side
    168,453.11x = 133,163,510,299.87
  5. Step 5: Solve for x
    x = 133,163,510,299.87/168,453.11
  6. Step 6: Final answer
    x = 790,507.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.