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Finding the Third Proportional to 188,356.50 and 392,049

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Solution

The third proportional to 188,356.50 and 392,049 is: 816,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,356.50 : 392,049 = 392,049 : x
  2. Step 2: Convert to fraction form
    188,356.50/392,049 = 392,049/x
  3. Step 3: Cross multiply
    188,356.50x = 392,049 × 392,049
  4. Step 4: Simplify right side
    188,356.50x = 153,702,418,401
  5. Step 5: Solve for x
    x = 153,702,418,401/188,356.50
  6. Step 6: Final answer
    x = 816,018.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.