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Finding the Third Proportional to 155,263.75 and 332,660.75

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Solution

The third proportional to 155,263.75 and 332,660.75 is: 712,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,263.75 : 332,660.75 = 332,660.75 : x
  2. Step 2: Convert to fraction form
    155,263.75/332,660.75 = 332,660.75/x
  3. Step 3: Cross multiply
    155,263.75x = 332,660.75 × 332,660.75
  4. Step 4: Simplify right side
    155,263.75x = 110,663,174,590.56
  5. Step 5: Solve for x
    x = 110,663,174,590.56/155,263.75
  6. Step 6: Final answer
    x = 712,743.15

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