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Finding the Third Proportional to 177,440 and 282,188

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Solution

The third proportional to 177,440 and 282,188 is: 448,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,440 : 282,188 = 282,188 : x
  2. Step 2: Convert to fraction form
    177,440/282,188 = 282,188/x
  3. Step 3: Cross multiply
    177,440x = 282,188 × 282,188
  4. Step 4: Simplify right side
    177,440x = 79,630,067,344
  5. Step 5: Solve for x
    x = 79,630,067,344/177,440
  6. Step 6: Final answer
    x = 448,771.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.