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Finding the Third Proportional to 118,409.34 and 225,906.47

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Solution

The third proportional to 118,409.34 and 225,906.47 is: 430,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,409.34 : 225,906.47 = 225,906.47 : x
  2. Step 2: Convert to fraction form
    118,409.34/225,906.47 = 225,906.47/x
  3. Step 3: Cross multiply
    118,409.34x = 225,906.47 × 225,906.47
  4. Step 4: Simplify right side
    118,409.34x = 51,033,732,623.09
  5. Step 5: Solve for x
    x = 51,033,732,623.09/118,409.34
  6. Step 6: Final answer
    x = 430,994.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.