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Finding the Third Proportional to 147,318.75 and 312,163.88

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Solution

The third proportional to 147,318.75 and 312,163.88 is: 661,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,318.75 : 312,163.88 = 312,163.88 : x
  2. Step 2: Convert to fraction form
    147,318.75/312,163.88 = 312,163.88/x
  3. Step 3: Cross multiply
    147,318.75x = 312,163.88 × 312,163.88
  4. Step 4: Simplify right side
    147,318.75x = 97,446,284,855.02
  5. Step 5: Solve for x
    x = 97,446,284,855.02/147,318.75
  6. Step 6: Final answer
    x = 661,465.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.