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Finding the Third Proportional to 139,733.50 and 303,097.50

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Solution

The third proportional to 139,733.50 and 303,097.50 is: 657,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,733.50 : 303,097.50 = 303,097.50 : x
  2. Step 2: Convert to fraction form
    139,733.50/303,097.50 = 303,097.50/x
  3. Step 3: Cross multiply
    139,733.50x = 303,097.50 × 303,097.50
  4. Step 4: Simplify right side
    139,733.50x = 91,868,094,506.25
  5. Step 5: Solve for x
    x = 91,868,094,506.25/139,733.50
  6. Step 6: Final answer
    x = 657,452.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.