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Finding the Third Proportional to 253,206 and 365,229

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Solution

The third proportional to 253,206 and 365,229 is: 526,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,206 : 365,229 = 365,229 : x
  2. Step 2: Convert to fraction form
    253,206/365,229 = 365,229/x
  3. Step 3: Cross multiply
    253,206x = 365,229 × 365,229
  4. Step 4: Simplify right side
    253,206x = 133,392,222,441
  5. Step 5: Solve for x
    x = 133,392,222,441/253,206
  6. Step 6: Final answer
    x = 526,813.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.