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Finding the Third Proportional to 182,315.81 and 275,992.31

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Solution

The third proportional to 182,315.81 and 275,992.31 is: 417,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,315.81 : 275,992.31 = 275,992.31 : x
  2. Step 2: Convert to fraction form
    182,315.81/275,992.31 = 275,992.31/x
  3. Step 3: Cross multiply
    182,315.81x = 275,992.31 × 275,992.31
  4. Step 4: Simplify right side
    182,315.81x = 76,171,756,559.10
  5. Step 5: Solve for x
    x = 76,171,756,559.10/182,315.81
  6. Step 6: Final answer
    x = 417,801.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.