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Finding the Third Proportional to 175,286 and 380,380

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Solution

The third proportional to 175,286 and 380,380 is: 825,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,286 : 380,380 = 380,380 : x
  2. Step 2: Convert to fraction form
    175,286/380,380 = 380,380/x
  3. Step 3: Cross multiply
    175,286x = 380,380 × 380,380
  4. Step 4: Simplify right side
    175,286x = 144,688,944,400
  5. Step 5: Solve for x
    x = 144,688,944,400/175,286
  6. Step 6: Final answer
    x = 825,444.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.