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Finding the Third Proportional to 135,322.50 and 306,069.75

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Solution

The third proportional to 135,322.50 and 306,069.75 is: 692,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322.50 : 306,069.75 = 306,069.75 : x
  2. Step 2: Convert to fraction form
    135,322.50/306,069.75 = 306,069.75/x
  3. Step 3: Cross multiply
    135,322.50x = 306,069.75 × 306,069.75
  4. Step 4: Simplify right side
    135,322.50x = 93,678,691,865.06
  5. Step 5: Solve for x
    x = 93,678,691,865.06/135,322.50
  6. Step 6: Final answer
    x = 692,262.50

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.