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Finding the Third Proportional to 175,216 and 268,080

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Solution

The third proportional to 175,216 and 268,080 is: 410,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216 : 268,080 = 268,080 : x
  2. Step 2: Convert to fraction form
    175,216/268,080 = 268,080/x
  3. Step 3: Cross multiply
    175,216x = 268,080 × 268,080
  4. Step 4: Simplify right side
    175,216x = 71,866,886,400
  5. Step 5: Solve for x
    x = 71,866,886,400/175,216
  6. Step 6: Final answer
    x = 410,161.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.