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Finding the Third Proportional to 166,885 and 265,332

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Solution

The third proportional to 166,885 and 265,332 is: 421,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,885 : 265,332 = 265,332 : x
  2. Step 2: Convert to fraction form
    166,885/265,332 = 265,332/x
  3. Step 3: Cross multiply
    166,885x = 265,332 × 265,332
  4. Step 4: Simplify right side
    166,885x = 70,401,070,224
  5. Step 5: Solve for x
    x = 70,401,070,224/166,885
  6. Step 6: Final answer
    x = 421,853.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.