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Finding the Third Proportional to 177,184 and 265,280

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Solution

The third proportional to 177,184 and 265,280 is: 397,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,184 : 265,280 = 265,280 : x
  2. Step 2: Convert to fraction form
    177,184/265,280 = 265,280/x
  3. Step 3: Cross multiply
    177,184x = 265,280 × 265,280
  4. Step 4: Simplify right side
    177,184x = 70,373,478,400
  5. Step 5: Solve for x
    x = 70,373,478,400/177,184
  6. Step 6: Final answer
    x = 397,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.