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Finding the Third Proportional to 216,893.25 and 324,063

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Solution

The third proportional to 216,893.25 and 324,063 is: 484,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,893.25 : 324,063 = 324,063 : x
  2. Step 2: Convert to fraction form
    216,893.25/324,063 = 324,063/x
  3. Step 3: Cross multiply
    216,893.25x = 324,063 × 324,063
  4. Step 4: Simplify right side
    216,893.25x = 105,016,827,969
  5. Step 5: Solve for x
    x = 105,016,827,969/216,893.25
  6. Step 6: Final answer
    x = 484,186.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.