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Finding the Third Proportional to 175,935 and 379,518

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Solution

The third proportional to 175,935 and 379,518 is: 818,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,935 : 379,518 = 379,518 : x
  2. Step 2: Convert to fraction form
    175,935/379,518 = 379,518/x
  3. Step 3: Cross multiply
    175,935x = 379,518 × 379,518
  4. Step 4: Simplify right side
    175,935x = 144,033,912,324
  5. Step 5: Solve for x
    x = 144,033,912,324/175,935
  6. Step 6: Final answer
    x = 818,676.85

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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.