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Finding the Third Proportional to 135,027 and 295,479

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Solution

The third proportional to 135,027 and 295,479 is: 646,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027 : 295,479 = 295,479 : x
  2. Step 2: Convert to fraction form
    135,027/295,479 = 295,479/x
  3. Step 3: Cross multiply
    135,027x = 295,479 × 295,479
  4. Step 4: Simplify right side
    135,027x = 87,307,839,441
  5. Step 5: Solve for x
    x = 87,307,839,441/135,027
  6. Step 6: Final answer
    x = 646,595.42

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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.