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Finding the Third Proportional to 170,632.13 and 367,022.63

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Solution

The third proportional to 170,632.13 and 367,022.63 is: 789,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632.13 : 367,022.63 = 367,022.63 : x
  2. Step 2: Convert to fraction form
    170,632.13/367,022.63 = 367,022.63/x
  3. Step 3: Cross multiply
    170,632.13x = 367,022.63 × 367,022.63
  4. Step 4: Simplify right side
    170,632.13x = 134,705,607,261.89
  5. Step 5: Solve for x
    x = 134,705,607,261.89/170,632.13
  6. Step 6: Final answer
    x = 789,450.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.