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Finding the Third Proportional to 155,296.50 and 332,739.75

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Solution

The third proportional to 155,296.50 and 332,739.75 is: 712,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,296.50 : 332,739.75 = 332,739.75 : x
  2. Step 2: Convert to fraction form
    155,296.50/332,739.75 = 332,739.75/x
  3. Step 3: Cross multiply
    155,296.50x = 332,739.75 × 332,739.75
  4. Step 4: Simplify right side
    155,296.50x = 110,715,741,230.06
  5. Step 5: Solve for x
    x = 110,715,741,230.06/155,296.50
  6. Step 6: Final answer
    x = 712,931.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.