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Finding the Third Proportional to 84,267 and 180,925.50

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Solution

The third proportional to 84,267 and 180,925.50 is: 388,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267 : 180,925.50 = 180,925.50 : x
  2. Step 2: Convert to fraction form
    84,267/180,925.50 = 180,925.50/x
  3. Step 3: Cross multiply
    84,267x = 180,925.50 × 180,925.50
  4. Step 4: Simplify right side
    84,267x = 32,734,036,550.25
  5. Step 5: Solve for x
    x = 32,734,036,550.25/84,267
  6. Step 6: Final answer
    x = 388,456.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.