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Finding the Third Proportional to 84,324.75 and 180,603.75

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Solution

The third proportional to 84,324.75 and 180,603.75 is: 386,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,324.75 : 180,603.75 = 180,603.75 : x
  2. Step 2: Convert to fraction form
    84,324.75/180,603.75 = 180,603.75/x
  3. Step 3: Cross multiply
    84,324.75x = 180,603.75 × 180,603.75
  4. Step 4: Simplify right side
    84,324.75x = 32,617,714,514.06
  5. Step 5: Solve for x
    x = 32,617,714,514.06/84,324.75
  6. Step 6: Final answer
    x = 386,810.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.