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Finding the Third Proportional to 177,008 and 385,112

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Solution

The third proportional to 177,008 and 385,112 is: 837,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,008 : 385,112 = 385,112 : x
  2. Step 2: Convert to fraction form
    177,008/385,112 = 385,112/x
  3. Step 3: Cross multiply
    177,008x = 385,112 × 385,112
  4. Step 4: Simplify right side
    177,008x = 148,311,252,544
  5. Step 5: Solve for x
    x = 148,311,252,544/177,008
  6. Step 6: Final answer
    x = 837,878.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.