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Finding the Third Proportional to 239,812.50 and 518,049

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Solution

The third proportional to 239,812.50 and 518,049 is: 1,119,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,812.50 : 518,049 = 518,049 : x
  2. Step 2: Convert to fraction form
    239,812.50/518,049 = 518,049/x
  3. Step 3: Cross multiply
    239,812.50x = 518,049 × 518,049
  4. Step 4: Simplify right side
    239,812.50x = 268,374,766,401
  5. Step 5: Solve for x
    x = 268,374,766,401/239,812.50
  6. Step 6: Final answer
    x = 1,119,102.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.