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Finding the Third Proportional to 135,672 and 295,451

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Solution

The third proportional to 135,672 and 295,451 is: 643,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672 : 295,451 = 295,451 : x
  2. Step 2: Convert to fraction form
    135,672/295,451 = 295,451/x
  3. Step 3: Cross multiply
    135,672x = 295,451 × 295,451
  4. Step 4: Simplify right side
    135,672x = 87,291,293,401
  5. Step 5: Solve for x
    x = 87,291,293,401/135,672
  6. Step 6: Final answer
    x = 643,399.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.