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Finding the Third Proportional to 166,473 and 264,780

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Solution

The third proportional to 166,473 and 264,780 is: 421,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,473 : 264,780 = 264,780 : x
  2. Step 2: Convert to fraction form
    166,473/264,780 = 264,780/x
  3. Step 3: Cross multiply
    166,473x = 264,780 × 264,780
  4. Step 4: Simplify right side
    166,473x = 70,108,448,400
  5. Step 5: Solve for x
    x = 70,108,448,400/166,473
  6. Step 6: Final answer
    x = 421,140.06

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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.