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Finding the Third Proportional to 130,744.75 and 201,884

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Solution

The third proportional to 130,744.75 and 201,884 is: 311,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,744.75 : 201,884 = 201,884 : x
  2. Step 2: Convert to fraction form
    130,744.75/201,884 = 201,884/x
  3. Step 3: Cross multiply
    130,744.75x = 201,884 × 201,884
  4. Step 4: Simplify right side
    130,744.75x = 40,757,149,456
  5. Step 5: Solve for x
    x = 40,757,149,456/130,744.75
  6. Step 6: Final answer
    x = 311,730.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.