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Finding the Third Proportional to 214,617.94 and 332,009.72

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Solution

The third proportional to 214,617.94 and 332,009.72 is: 513,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617.94 : 332,009.72 = 332,009.72 : x
  2. Step 2: Convert to fraction form
    214,617.94/332,009.72 = 332,009.72/x
  3. Step 3: Cross multiply
    214,617.94x = 332,009.72 × 332,009.72
  4. Step 4: Simplify right side
    214,617.94x = 110,230,453,344.45
  5. Step 5: Solve for x
    x = 110,230,453,344.45/214,617.94
  6. Step 6: Final answer
    x = 513,612.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.