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Finding the Third Proportional to 179,548 and 265,852

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Solution

The third proportional to 179,548 and 265,852 is: 393,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,548 : 265,852 = 265,852 : x
  2. Step 2: Convert to fraction form
    179,548/265,852 = 265,852/x
  3. Step 3: Cross multiply
    179,548x = 265,852 × 265,852
  4. Step 4: Simplify right side
    179,548x = 70,677,285,904
  5. Step 5: Solve for x
    x = 70,677,285,904/179,548
  6. Step 6: Final answer
    x = 393,640.06

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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.