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Finding the Third Proportional to 166,940 and 360,609

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Solution

The third proportional to 166,940 and 360,609 is: 778,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,940 : 360,609 = 360,609 : x
  2. Step 2: Convert to fraction form
    166,940/360,609 = 360,609/x
  3. Step 3: Cross multiply
    166,940x = 360,609 × 360,609
  4. Step 4: Simplify right side
    166,940x = 130,038,850,881
  5. Step 5: Solve for x
    x = 130,038,850,881/166,940
  6. Step 6: Final answer
    x = 778,955.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.