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Finding the Third Proportional to 155,286.56 and 332,717.06

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Solution

The third proportional to 155,286.56 and 332,717.06 is: 712,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286.56 : 332,717.06 = 332,717.06 : x
  2. Step 2: Convert to fraction form
    155,286.56/332,717.06 = 332,717.06/x
  3. Step 3: Cross multiply
    155,286.56x = 332,717.06 × 332,717.06
  4. Step 4: Simplify right side
    155,286.56x = 110,700,643,678.63
  5. Step 5: Solve for x
    x = 110,700,643,678.63/155,286.56
  6. Step 6: Final answer
    x = 712,879.74

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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.