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Finding the Third Proportional to 197,614.13 and 295,880.63

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Solution

The third proportional to 197,614.13 and 295,880.63 is: 443,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,614.13 : 295,880.63 = 295,880.63 : x
  2. Step 2: Convert to fraction form
    197,614.13/295,880.63 = 295,880.63/x
  3. Step 3: Cross multiply
    197,614.13x = 295,880.63 × 295,880.63
  4. Step 4: Simplify right side
    197,614.13x = 87,545,344,250.39
  5. Step 5: Solve for x
    x = 87,545,344,250.39/197,614.13
  6. Step 6: Final answer
    x = 443,011.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.