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Finding the Third Proportional to 171,152 and 381,657

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Solution

The third proportional to 171,152 and 381,657 is: 851,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,152 : 381,657 = 381,657 : x
  2. Step 2: Convert to fraction form
    171,152/381,657 = 381,657/x
  3. Step 3: Cross multiply
    171,152x = 381,657 × 381,657
  4. Step 4: Simplify right side
    171,152x = 145,662,065,649
  5. Step 5: Solve for x
    x = 145,662,065,649/171,152
  6. Step 6: Final answer
    x = 851,068.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.