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Finding the Third Proportional to 179,580 and 267,811.50

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Solution

The third proportional to 179,580 and 267,811.50 is: 399,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,580 : 267,811.50 = 267,811.50 : x
  2. Step 2: Convert to fraction form
    179,580/267,811.50 = 267,811.50/x
  3. Step 3: Cross multiply
    179,580x = 267,811.50 × 267,811.50
  4. Step 4: Simplify right side
    179,580x = 71,722,999,532.25
  5. Step 5: Solve for x
    x = 71,722,999,532.25/179,580
  6. Step 6: Final answer
    x = 399,393.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.