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Finding the Third Proportional to 175,180 and 385,352

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Solution

The third proportional to 175,180 and 385,352 is: 847,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,180 : 385,352 = 385,352 : x
  2. Step 2: Convert to fraction form
    175,180/385,352 = 385,352/x
  3. Step 3: Cross multiply
    175,180x = 385,352 × 385,352
  4. Step 4: Simplify right side
    175,180x = 148,496,163,904
  5. Step 5: Solve for x
    x = 148,496,163,904/175,180
  6. Step 6: Final answer
    x = 847,677.61

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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.