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Finding the Third Proportional to 164,909.25 and 364,270.50

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Solution

The third proportional to 164,909.25 and 364,270.50 is: 804,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.25 : 364,270.50 = 364,270.50 : x
  2. Step 2: Convert to fraction form
    164,909.25/364,270.50 = 364,270.50/x
  3. Step 3: Cross multiply
    164,909.25x = 364,270.50 × 364,270.50
  4. Step 4: Simplify right side
    164,909.25x = 132,692,997,170.25
  5. Step 5: Solve for x
    x = 132,692,997,170.25/164,909.25
  6. Step 6: Final answer
    x = 804,642.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.