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Finding the Third Proportional to 215,523.75 and 326,277.75

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Solution

The third proportional to 215,523.75 and 326,277.75 is: 493,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,523.75 : 326,277.75 = 326,277.75 : x
  2. Step 2: Convert to fraction form
    215,523.75/326,277.75 = 326,277.75/x
  3. Step 3: Cross multiply
    215,523.75x = 326,277.75 × 326,277.75
  4. Step 4: Simplify right side
    215,523.75x = 106,457,170,145.06
  5. Step 5: Solve for x
    x = 106,457,170,145.06/215,523.75
  6. Step 6: Final answer
    x = 493,946.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.