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Finding the Third Proportional to 164,220.75 and 356,479.31

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Solution

The third proportional to 164,220.75 and 356,479.31 is: 773,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220.75 : 356,479.31 = 356,479.31 : x
  2. Step 2: Convert to fraction form
    164,220.75/356,479.31 = 356,479.31/x
  3. Step 3: Cross multiply
    164,220.75x = 356,479.31 × 356,479.31
  4. Step 4: Simplify right side
    164,220.75x = 127,077,500,240.47
  5. Step 5: Solve for x
    x = 127,077,500,240.47/164,220.75
  6. Step 6: Final answer
    x = 773,821.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.