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Finding the Third Proportional to 81,462.80 and 170,374.01

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Solution

The third proportional to 81,462.80 and 170,374.01 is: 356,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.80 : 170,374.01 = 170,374.01 : x
  2. Step 2: Convert to fraction form
    81,462.80/170,374.01 = 170,374.01/x
  3. Step 3: Cross multiply
    81,462.80x = 170,374.01 × 170,374.01
  4. Step 4: Simplify right side
    81,462.80x = 29,027,302,538.09
  5. Step 5: Solve for x
    x = 29,027,302,538.09/81,462.80
  6. Step 6: Final answer
    x = 356,325.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.