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Finding the Third Proportional to 177,816 and 385,764

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Solution

The third proportional to 177,816 and 385,764 is: 836,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,816 : 385,764 = 385,764 : x
  2. Step 2: Convert to fraction form
    177,816/385,764 = 385,764/x
  3. Step 3: Cross multiply
    177,816x = 385,764 × 385,764
  4. Step 4: Simplify right side
    177,816x = 148,813,863,696
  5. Step 5: Solve for x
    x = 148,813,863,696/177,816
  6. Step 6: Final answer
    x = 836,898.05

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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.