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Finding the Third Proportional to 177,875 and 385,274

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Solution

The third proportional to 177,875 and 385,274 is: 834,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,875 : 385,274 = 385,274 : x
  2. Step 2: Convert to fraction form
    177,875/385,274 = 385,274/x
  3. Step 3: Cross multiply
    177,875x = 385,274 × 385,274
  4. Step 4: Simplify right side
    177,875x = 148,436,055,076
  5. Step 5: Solve for x
    x = 148,436,055,076/177,875
  6. Step 6: Final answer
    x = 834,496.44

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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.