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Finding the Third Proportional to 130,247.25 and 264,114.75

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Solution

The third proportional to 130,247.25 and 264,114.75 is: 535,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,247.25 : 264,114.75 = 264,114.75 : x
  2. Step 2: Convert to fraction form
    130,247.25/264,114.75 = 264,114.75/x
  3. Step 3: Cross multiply
    130,247.25x = 264,114.75 × 264,114.75
  4. Step 4: Simplify right side
    130,247.25x = 69,756,601,167.56
  5. Step 5: Solve for x
    x = 69,756,601,167.56/130,247.25
  6. Step 6: Final answer
    x = 535,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.