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Finding the Third Proportional to 93,240 and 203,034

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Solution

The third proportional to 93,240 and 203,034 is: 442,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,240 : 203,034 = 203,034 : x
  2. Step 2: Convert to fraction form
    93,240/203,034 = 203,034/x
  3. Step 3: Cross multiply
    93,240x = 203,034 × 203,034
  4. Step 4: Simplify right side
    93,240x = 41,222,805,156
  5. Step 5: Solve for x
    x = 41,222,805,156/93,240
  6. Step 6: Final answer
    x = 442,115.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.