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Finding the Third Proportional to 176,006 and 378,549

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Solution

The third proportional to 176,006 and 378,549 is: 814,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,006 : 378,549 = 378,549 : x
  2. Step 2: Convert to fraction form
    176,006/378,549 = 378,549/x
  3. Step 3: Cross multiply
    176,006x = 378,549 × 378,549
  4. Step 4: Simplify right side
    176,006x = 143,299,345,401
  5. Step 5: Solve for x
    x = 143,299,345,401/176,006
  6. Step 6: Final answer
    x = 814,173.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.