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Finding the Third Proportional to 82,574.44 and 180,898.31

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Solution

The third proportional to 82,574.44 and 180,898.31 is: 396,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,574.44 : 180,898.31 = 180,898.31 : x
  2. Step 2: Convert to fraction form
    82,574.44/180,898.31 = 180,898.31/x
  3. Step 3: Cross multiply
    82,574.44x = 180,898.31 × 180,898.31
  4. Step 4: Simplify right side
    82,574.44x = 32,724,199,465.35
  5. Step 5: Solve for x
    x = 32,724,199,465.35/82,574.44
  6. Step 6: Final answer
    x = 396,299.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.