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Finding the Third Proportional to 177,795 and 385,236

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Solution

The third proportional to 177,795 and 385,236 is: 834,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795 : 385,236 = 385,236 : x
  2. Step 2: Convert to fraction form
    177,795/385,236 = 385,236/x
  3. Step 3: Cross multiply
    177,795x = 385,236 × 385,236
  4. Step 4: Simplify right side
    177,795x = 148,406,775,696
  5. Step 5: Solve for x
    x = 148,406,775,696/177,795
  6. Step 6: Final answer
    x = 834,707.25

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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.