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Finding the Third Proportional to 203,094.84 and 315,884.81

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Solution

The third proportional to 203,094.84 and 315,884.81 is: 491,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,094.84 : 315,884.81 = 315,884.81 : x
  2. Step 2: Convert to fraction form
    203,094.84/315,884.81 = 315,884.81/x
  3. Step 3: Cross multiply
    203,094.84x = 315,884.81 × 315,884.81
  4. Step 4: Simplify right side
    203,094.84x = 99,783,214,768.16
  5. Step 5: Solve for x
    x = 99,783,214,768.16/203,094.84
  6. Step 6: Final answer
    x = 491,313.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.