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Finding the Third Proportional to 164,659.50 and 254,198.25

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Solution

The third proportional to 164,659.50 and 254,198.25 is: 392,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,659.50 : 254,198.25 = 254,198.25 : x
  2. Step 2: Convert to fraction form
    164,659.50/254,198.25 = 254,198.25/x
  3. Step 3: Cross multiply
    164,659.50x = 254,198.25 × 254,198.25
  4. Step 4: Simplify right side
    164,659.50x = 64,616,750,303.06
  5. Step 5: Solve for x
    x = 64,616,750,303.06/164,659.50
  6. Step 6: Final answer
    x = 392,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.