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Finding the Third Proportional to 166,718 and 359,770

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Solution

The third proportional to 166,718 and 359,770 is: 776,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,718 : 359,770 = 359,770 : x
  2. Step 2: Convert to fraction form
    166,718/359,770 = 359,770/x
  3. Step 3: Cross multiply
    166,718x = 359,770 × 359,770
  4. Step 4: Simplify right side
    166,718x = 129,434,452,900
  5. Step 5: Solve for x
    x = 129,434,452,900/166,718
  6. Step 6: Final answer
    x = 776,367.60

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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.