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Finding the Third Proportional to 176,736 and 265,680

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Solution

The third proportional to 176,736 and 265,680 is: 399,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,736 : 265,680 = 265,680 : x
  2. Step 2: Convert to fraction form
    176,736/265,680 = 265,680/x
  3. Step 3: Cross multiply
    176,736x = 265,680 × 265,680
  4. Step 4: Simplify right side
    176,736x = 70,585,862,400
  5. Step 5: Solve for x
    x = 70,585,862,400/176,736
  6. Step 6: Final answer
    x = 399,385.88

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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.