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Finding the Third Proportional to 192,247 and 291,237

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Solution

The third proportional to 192,247 and 291,237 is: 441,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,247 : 291,237 = 291,237 : x
  2. Step 2: Convert to fraction form
    192,247/291,237 = 291,237/x
  3. Step 3: Cross multiply
    192,247x = 291,237 × 291,237
  4. Step 4: Simplify right side
    192,247x = 84,818,990,169
  5. Step 5: Solve for x
    x = 84,818,990,169/192,247
  6. Step 6: Final answer
    x = 441,197.99

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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.