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Finding the Third Proportional to 176,972 and 385,049

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Solution

The third proportional to 176,972 and 385,049 is: 837,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,972 : 385,049 = 385,049 : x
  2. Step 2: Convert to fraction form
    176,972/385,049 = 385,049/x
  3. Step 3: Cross multiply
    176,972x = 385,049 × 385,049
  4. Step 4: Simplify right side
    176,972x = 148,262,732,401
  5. Step 5: Solve for x
    x = 148,262,732,401/176,972
  6. Step 6: Final answer
    x = 837,775.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.