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Finding the Third Proportional to 179,523 and 265,818

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Solution

The third proportional to 179,523 and 265,818 is: 393,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,523 : 265,818 = 265,818 : x
  2. Step 2: Convert to fraction form
    179,523/265,818 = 265,818/x
  3. Step 3: Cross multiply
    179,523x = 265,818 × 265,818
  4. Step 4: Simplify right side
    179,523x = 70,659,209,124
  5. Step 5: Solve for x
    x = 70,659,209,124/179,523
  6. Step 6: Final answer
    x = 393,594.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.