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Finding the Third Proportional to 135,414 and 297,084

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Solution

The third proportional to 135,414 and 297,084 is: 651,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,414 : 297,084 = 297,084 : x
  2. Step 2: Convert to fraction form
    135,414/297,084 = 297,084/x
  3. Step 3: Cross multiply
    135,414x = 297,084 × 297,084
  4. Step 4: Simplify right side
    135,414x = 88,258,903,056
  5. Step 5: Solve for x
    x = 88,258,903,056/135,414
  6. Step 6: Final answer
    x = 651,770.89

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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.