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Finding the Third Proportional to 166,585 and 264,947

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Solution

The third proportional to 166,585 and 264,947 is: 421,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,585 : 264,947 = 264,947 : x
  2. Step 2: Convert to fraction form
    166,585/264,947 = 264,947/x
  3. Step 3: Cross multiply
    166,585x = 264,947 × 264,947
  4. Step 4: Simplify right side
    166,585x = 70,196,912,809
  5. Step 5: Solve for x
    x = 70,196,912,809/166,585
  6. Step 6: Final answer
    x = 421,387.96

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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.