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Finding the Third Proportional to 105,621.75 and 234,858.38

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Solution

The third proportional to 105,621.75 and 234,858.38 is: 522,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,621.75 : 234,858.38 = 234,858.38 : x
  2. Step 2: Convert to fraction form
    105,621.75/234,858.38 = 234,858.38/x
  3. Step 3: Cross multiply
    105,621.75x = 234,858.38 × 234,858.38
  4. Step 4: Simplify right side
    105,621.75x = 55,158,456,307.64
  5. Step 5: Solve for x
    x = 55,158,456,307.64/105,621.75
  6. Step 6: Final answer
    x = 522,226.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.