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Finding the Third Proportional to 164,512.90 and 356,012.51

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Solution

The third proportional to 164,512.90 and 356,012.51 is: 770,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,512.90 : 356,012.51 = 356,012.51 : x
  2. Step 2: Convert to fraction form
    164,512.90/356,012.51 = 356,012.51/x
  3. Step 3: Cross multiply
    164,512.90x = 356,012.51 × 356,012.51
  4. Step 4: Simplify right side
    164,512.90x = 126,744,905,718.95
  5. Step 5: Solve for x
    x = 126,744,905,718.95/164,512.90
  6. Step 6: Final answer
    x = 770,425.34

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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.