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Finding the Third Proportional to 171,632 and 265,752

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Solution

The third proportional to 171,632 and 265,752 is: 411,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,632 : 265,752 = 265,752 : x
  2. Step 2: Convert to fraction form
    171,632/265,752 = 265,752/x
  3. Step 3: Cross multiply
    171,632x = 265,752 × 265,752
  4. Step 4: Simplify right side
    171,632x = 70,624,125,504
  5. Step 5: Solve for x
    x = 70,624,125,504/171,632
  6. Step 6: Final answer
    x = 411,485.77

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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.