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Finding the Third Proportional to 192,164.63 and 409,277.25

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Solution

The third proportional to 192,164.63 and 409,277.25 is: 871,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,164.63 : 409,277.25 = 409,277.25 : x
  2. Step 2: Convert to fraction form
    192,164.63/409,277.25 = 409,277.25/x
  3. Step 3: Cross multiply
    192,164.63x = 409,277.25 × 409,277.25
  4. Step 4: Simplify right side
    192,164.63x = 167,507,867,367.56
  5. Step 5: Solve for x
    x = 167,507,867,367.56/192,164.63
  6. Step 6: Final answer
    x = 871,689.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.