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Finding the Third Proportional to 164,360.25 and 353,687.63

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Solution

The third proportional to 164,360.25 and 353,687.63 is: 761,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,360.25 : 353,687.63 = 353,687.63 : x
  2. Step 2: Convert to fraction form
    164,360.25/353,687.63 = 353,687.63/x
  3. Step 3: Cross multiply
    164,360.25x = 353,687.63 × 353,687.63
  4. Step 4: Simplify right side
    164,360.25x = 125,094,936,078.14
  5. Step 5: Solve for x
    x = 125,094,936,078.14/164,360.25
  6. Step 6: Final answer
    x = 761,102.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.