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Finding the Third Proportional to 190,352 and 267,820

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Solution

The third proportional to 190,352 and 267,820 is: 376,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,352 : 267,820 = 267,820 : x
  2. Step 2: Convert to fraction form
    190,352/267,820 = 267,820/x
  3. Step 3: Cross multiply
    190,352x = 267,820 × 267,820
  4. Step 4: Simplify right side
    190,352x = 71,727,552,400
  5. Step 5: Solve for x
    x = 71,727,552,400/190,352
  6. Step 6: Final answer
    x = 376,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.