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Finding the Third Proportional to 179,573.63 and 267,802.88

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Solution

The third proportional to 179,573.63 and 267,802.88 is: 399,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,573.63 : 267,802.88 = 267,802.88 : x
  2. Step 2: Convert to fraction form
    179,573.63/267,802.88 = 267,802.88/x
  3. Step 3: Cross multiply
    179,573.63x = 267,802.88 × 267,802.88
  4. Step 4: Simplify right side
    179,573.63x = 71,718,379,858.27
  5. Step 5: Solve for x
    x = 71,718,379,858.27/179,573.63
  6. Step 6: Final answer
    x = 399,381.48

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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.