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Finding the Third Proportional to 180,840 and 267,574

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Solution

The third proportional to 180,840 and 267,574 is: 395,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,840 : 267,574 = 267,574 : x
  2. Step 2: Convert to fraction form
    180,840/267,574 = 267,574/x
  3. Step 3: Cross multiply
    180,840x = 267,574 × 267,574
  4. Step 4: Simplify right side
    180,840x = 71,595,845,476
  5. Step 5: Solve for x
    x = 71,595,845,476/180,840
  6. Step 6: Final answer
    x = 395,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.