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Finding the Third Proportional to 164,285 and 356,454.25

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Solution

The third proportional to 164,285 and 356,454.25 is: 773,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285 : 356,454.25 = 356,454.25 : x
  2. Step 2: Convert to fraction form
    164,285/356,454.25 = 356,454.25/x
  3. Step 3: Cross multiply
    164,285x = 356,454.25 × 356,454.25
  4. Step 4: Simplify right side
    164,285x = 127,059,632,343.06
  5. Step 5: Solve for x
    x = 127,059,632,343.06/164,285
  6. Step 6: Final answer
    x = 773,409.82

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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.