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Finding the Third Proportional to 164,780 and 359,764

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Solution

The third proportional to 164,780 and 359,764 is: 785,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,780 : 359,764 = 359,764 : x
  2. Step 2: Convert to fraction form
    164,780/359,764 = 359,764/x
  3. Step 3: Cross multiply
    164,780x = 359,764 × 359,764
  4. Step 4: Simplify right side
    164,780x = 129,430,135,696
  5. Step 5: Solve for x
    x = 129,430,135,696/164,780
  6. Step 6: Final answer
    x = 785,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.