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Finding the Third Proportional to 241,392 and 365,195

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Solution

The third proportional to 241,392 and 365,195 is: 552,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,392 : 365,195 = 365,195 : x
  2. Step 2: Convert to fraction form
    241,392/365,195 = 365,195/x
  3. Step 3: Cross multiply
    241,392x = 365,195 × 365,195
  4. Step 4: Simplify right side
    241,392x = 133,367,388,025
  5. Step 5: Solve for x
    x = 133,367,388,025/241,392
  6. Step 6: Final answer
    x = 552,492.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.