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Finding the Third Proportional to 171,884 and 265,604

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Solution

The third proportional to 171,884 and 265,604 is: 410,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,884 : 265,604 = 265,604 : x
  2. Step 2: Convert to fraction form
    171,884/265,604 = 265,604/x
  3. Step 3: Cross multiply
    171,884x = 265,604 × 265,604
  4. Step 4: Simplify right side
    171,884x = 70,545,484,816
  5. Step 5: Solve for x
    x = 70,545,484,816/171,884
  6. Step 6: Final answer
    x = 410,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.