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Finding the Third Proportional to 190,595.43 and 279,527.31

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Solution

The third proportional to 190,595.43 and 279,527.31 is: 409,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,595.43 : 279,527.31 = 279,527.31 : x
  2. Step 2: Convert to fraction form
    190,595.43/279,527.31 = 279,527.31/x
  3. Step 3: Cross multiply
    190,595.43x = 279,527.31 × 279,527.31
  4. Step 4: Simplify right side
    190,595.43x = 78,135,516,249.67
  5. Step 5: Solve for x
    x = 78,135,516,249.67/190,595.43
  6. Step 6: Final answer
    x = 409,954.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.