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Finding the Third Proportional to 134,531 and 295,302

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Solution

The third proportional to 134,531 and 295,302 is: 648,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,531 : 295,302 = 295,302 : x
  2. Step 2: Convert to fraction form
    134,531/295,302 = 295,302/x
  3. Step 3: Cross multiply
    134,531x = 295,302 × 295,302
  4. Step 4: Simplify right side
    134,531x = 87,203,271,204
  5. Step 5: Solve for x
    x = 87,203,271,204/134,531
  6. Step 6: Final answer
    x = 648,202.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.