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Finding the Third Proportional to 135,034 and 295,482

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Solution

The third proportional to 135,034 and 295,482 is: 646,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,034 : 295,482 = 295,482 : x
  2. Step 2: Convert to fraction form
    135,034/295,482 = 295,482/x
  3. Step 3: Cross multiply
    135,034x = 295,482 × 295,482
  4. Step 4: Simplify right side
    135,034x = 87,309,612,324
  5. Step 5: Solve for x
    x = 87,309,612,324/135,034
  6. Step 6: Final answer
    x = 646,575.03

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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.