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Finding the Third Proportional to 135,642 and 295,578

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Solution

The third proportional to 135,642 and 295,578 is: 644,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642 : 295,578 = 295,578 : x
  2. Step 2: Convert to fraction form
    135,642/295,578 = 295,578/x
  3. Step 3: Cross multiply
    135,642x = 295,578 × 295,578
  4. Step 4: Simplify right side
    135,642x = 87,366,354,084
  5. Step 5: Solve for x
    x = 87,366,354,084/135,642
  6. Step 6: Final answer
    x = 644,095.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.