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Finding the Third Proportional to 189,984.38 and 296,478.56

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Solution

The third proportional to 189,984.38 and 296,478.56 is: 462,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984.38 : 296,478.56 = 296,478.56 : x
  2. Step 2: Convert to fraction form
    189,984.38/296,478.56 = 296,478.56/x
  3. Step 3: Cross multiply
    189,984.38x = 296,478.56 × 296,478.56
  4. Step 4: Simplify right side
    189,984.38x = 87,899,538,022.07
  5. Step 5: Solve for x
    x = 87,899,538,022.07/189,984.38
  6. Step 6: Final answer
    x = 462,667.20

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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.