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Finding the Third Proportional to 177,414 and 265,482

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Solution

The third proportional to 177,414 and 265,482 is: 397,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,414 : 265,482 = 265,482 : x
  2. Step 2: Convert to fraction form
    177,414/265,482 = 265,482/x
  3. Step 3: Cross multiply
    177,414x = 265,482 × 265,482
  4. Step 4: Simplify right side
    177,414x = 70,480,692,324
  5. Step 5: Solve for x
    x = 70,480,692,324/177,414
  6. Step 6: Final answer
    x = 397,266.80

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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.