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Finding the Third Proportional to 177,452 and 245,280

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Solution

The third proportional to 177,452 and 245,280 is: 339,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,452 : 245,280 = 245,280 : x
  2. Step 2: Convert to fraction form
    177,452/245,280 = 245,280/x
  3. Step 3: Cross multiply
    177,452x = 245,280 × 245,280
  4. Step 4: Simplify right side
    177,452x = 60,162,278,400
  5. Step 5: Solve for x
    x = 60,162,278,400/177,452
  6. Step 6: Final answer
    x = 339,034.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.