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Finding the Third Proportional to 175,166 and 385,324

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Solution

The third proportional to 175,166 and 385,324 is: 847,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,166 : 385,324 = 385,324 : x
  2. Step 2: Convert to fraction form
    175,166/385,324 = 385,324/x
  3. Step 3: Cross multiply
    175,166x = 385,324 × 385,324
  4. Step 4: Simplify right side
    175,166x = 148,474,584,976
  5. Step 5: Solve for x
    x = 148,474,584,976/175,166
  6. Step 6: Final answer
    x = 847,622.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.