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Finding the Third Proportional to 164,201.50 and 354,039.50

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Solution

The third proportional to 164,201.50 and 354,039.50 is: 763,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,201.50 : 354,039.50 = 354,039.50 : x
  2. Step 2: Convert to fraction form
    164,201.50/354,039.50 = 354,039.50/x
  3. Step 3: Cross multiply
    164,201.50x = 354,039.50 × 354,039.50
  4. Step 4: Simplify right side
    164,201.50x = 125,343,967,560.25
  5. Step 5: Solve for x
    x = 125,343,967,560.25/164,201.50
  6. Step 6: Final answer
    x = 763,354.58

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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.