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Finding the Third Proportional to 164,009.25 and 267,813

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Solution

The third proportional to 164,009.25 and 267,813 is: 437,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,009.25 : 267,813 = 267,813 : x
  2. Step 2: Convert to fraction form
    164,009.25/267,813 = 267,813/x
  3. Step 3: Cross multiply
    164,009.25x = 267,813 × 267,813
  4. Step 4: Simplify right side
    164,009.25x = 71,723,802,969
  5. Step 5: Solve for x
    x = 71,723,802,969/164,009.25
  6. Step 6: Final answer
    x = 437,315.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.