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Finding the Third Proportional to 173,616 and 270,574

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Solution

The third proportional to 173,616 and 270,574 is: 421,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,616 : 270,574 = 270,574 : x
  2. Step 2: Convert to fraction form
    173,616/270,574 = 270,574/x
  3. Step 3: Cross multiply
    173,616x = 270,574 × 270,574
  4. Step 4: Simplify right side
    173,616x = 73,210,289,476
  5. Step 5: Solve for x
    x = 73,210,289,476/173,616
  6. Step 6: Final answer
    x = 421,679.39

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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.