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Finding the Third Proportional to 183,665.25 and 280,935

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Solution

The third proportional to 183,665.25 and 280,935 is: 429,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,665.25 : 280,935 = 280,935 : x
  2. Step 2: Convert to fraction form
    183,665.25/280,935 = 280,935/x
  3. Step 3: Cross multiply
    183,665.25x = 280,935 × 280,935
  4. Step 4: Simplify right side
    183,665.25x = 78,924,474,225
  5. Step 5: Solve for x
    x = 78,924,474,225/183,665.25
  6. Step 6: Final answer
    x = 429,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.