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Finding the Third Proportional to 174,548 and 268,626

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Solution

The third proportional to 174,548 and 268,626 is: 413,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,548 : 268,626 = 268,626 : x
  2. Step 2: Convert to fraction form
    174,548/268,626 = 268,626/x
  3. Step 3: Cross multiply
    174,548x = 268,626 × 268,626
  4. Step 4: Simplify right side
    174,548x = 72,159,927,876
  5. Step 5: Solve for x
    x = 72,159,927,876/174,548
  6. Step 6: Final answer
    x = 413,410.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.