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Finding the Third Proportional to 173,124 and 270,621

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Solution

The third proportional to 173,124 and 270,621 is: 423,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,124 : 270,621 = 270,621 : x
  2. Step 2: Convert to fraction form
    173,124/270,621 = 270,621/x
  3. Step 3: Cross multiply
    173,124x = 270,621 × 270,621
  4. Step 4: Simplify right side
    173,124x = 73,235,725,641
  5. Step 5: Solve for x
    x = 73,235,725,641/173,124
  6. Step 6: Final answer
    x = 423,024.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.