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Finding the Third Proportional to 105,334.50 and 230,375.63

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Solution

The third proportional to 105,334.50 and 230,375.63 is: 503,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,334.50 : 230,375.63 = 230,375.63 : x
  2. Step 2: Convert to fraction form
    105,334.50/230,375.63 = 230,375.63/x
  3. Step 3: Cross multiply
    105,334.50x = 230,375.63 × 230,375.63
  4. Step 4: Simplify right side
    105,334.50x = 53,072,928,594.14
  5. Step 5: Solve for x
    x = 53,072,928,594.14/105,334.50
  6. Step 6: Final answer
    x = 503,851.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.