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Finding the Third Proportional to 177,004 and 280,416

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Solution

The third proportional to 177,004 and 280,416 is: 444,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,004 : 280,416 = 280,416 : x
  2. Step 2: Convert to fraction form
    177,004/280,416 = 280,416/x
  3. Step 3: Cross multiply
    177,004x = 280,416 × 280,416
  4. Step 4: Simplify right side
    177,004x = 78,633,133,056
  5. Step 5: Solve for x
    x = 78,633,133,056/177,004
  6. Step 6: Final answer
    x = 444,244.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.