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Finding the Third Proportional to 176,320 and 268,609

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Solution

The third proportional to 176,320 and 268,609 is: 409,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320 : 268,609 = 268,609 : x
  2. Step 2: Convert to fraction form
    176,320/268,609 = 268,609/x
  3. Step 3: Cross multiply
    176,320x = 268,609 × 268,609
  4. Step 4: Simplify right side
    176,320x = 72,150,794,881
  5. Step 5: Solve for x
    x = 72,150,794,881/176,320
  6. Step 6: Final answer
    x = 409,203.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.