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Finding the Third Proportional to 147,163.50 and 317,845.69

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Solution

The third proportional to 147,163.50 and 317,845.69 is: 686,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,163.50 : 317,845.69 = 317,845.69 : x
  2. Step 2: Convert to fraction form
    147,163.50/317,845.69 = 317,845.69/x
  3. Step 3: Cross multiply
    147,163.50x = 317,845.69 × 317,845.69
  4. Step 4: Simplify right side
    147,163.50x = 101,025,881,062.35
  5. Step 5: Solve for x
    x = 101,025,881,062.35/147,163.50
  6. Step 6: Final answer
    x = 686,487.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.