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Finding the Third Proportional to 82,883.25 and 180,948.38

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Solution

The third proportional to 82,883.25 and 180,948.38 is: 395,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.25 : 180,948.38 = 180,948.38 : x
  2. Step 2: Convert to fraction form
    82,883.25/180,948.38 = 180,948.38/x
  3. Step 3: Cross multiply
    82,883.25x = 180,948.38 × 180,948.38
  4. Step 4: Simplify right side
    82,883.25x = 32,742,314,415.14
  5. Step 5: Solve for x
    x = 32,742,314,415.14/82,883.25
  6. Step 6: Final answer
    x = 395,041.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.