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Finding the Third Proportional to 166,932 and 265,392

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Solution

The third proportional to 166,932 and 265,392 is: 421,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,932 : 265,392 = 265,392 : x
  2. Step 2: Convert to fraction form
    166,932/265,392 = 265,392/x
  3. Step 3: Cross multiply
    166,932x = 265,392 × 265,392
  4. Step 4: Simplify right side
    166,932x = 70,432,913,664
  5. Step 5: Solve for x
    x = 70,432,913,664/166,932
  6. Step 6: Final answer
    x = 421,925.78

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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.