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Finding the Third Proportional to 215,790 and 323,688.75

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Solution

The third proportional to 215,790 and 323,688.75 is: 485,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,790 : 323,688.75 = 323,688.75 : x
  2. Step 2: Convert to fraction form
    215,790/323,688.75 = 323,688.75/x
  3. Step 3: Cross multiply
    215,790x = 323,688.75 × 323,688.75
  4. Step 4: Simplify right side
    215,790x = 104,774,406,876.56
  5. Step 5: Solve for x
    x = 104,774,406,876.56/215,790
  6. Step 6: Final answer
    x = 485,538.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.