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Finding the Third Proportional to 164,013.50 and 267,821.50

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Solution

The third proportional to 164,013.50 and 267,821.50 is: 437,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,013.50 : 267,821.50 = 267,821.50 : x
  2. Step 2: Convert to fraction form
    164,013.50/267,821.50 = 267,821.50/x
  3. Step 3: Cross multiply
    164,013.50x = 267,821.50 × 267,821.50
  4. Step 4: Simplify right side
    164,013.50x = 71,728,355,862.25
  5. Step 5: Solve for x
    x = 71,728,355,862.25/164,013.50
  6. Step 6: Final answer
    x = 437,332.02

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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.