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Finding the Third Proportional to 117,024 and 239,586

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Solution

The third proportional to 117,024 and 239,586 is: 490,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 239,586 = 239,586 : x
  2. Step 2: Convert to fraction form
    117,024/239,586 = 239,586/x
  3. Step 3: Cross multiply
    117,024x = 239,586 × 239,586
  4. Step 4: Simplify right side
    117,024x = 57,401,451,396
  5. Step 5: Solve for x
    x = 57,401,451,396/117,024
  6. Step 6: Final answer
    x = 490,510.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.