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Finding the Third Proportional to 135,372 and 297,000

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Solution

The third proportional to 135,372 and 297,000 is: 651,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,372 : 297,000 = 297,000 : x
  2. Step 2: Convert to fraction form
    135,372/297,000 = 297,000/x
  3. Step 3: Cross multiply
    135,372x = 297,000 × 297,000
  4. Step 4: Simplify right side
    135,372x = 88,209,000,000
  5. Step 5: Solve for x
    x = 88,209,000,000/135,372
  6. Step 6: Final answer
    x = 651,604.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.