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Finding the Third Proportional to 135,512 and 291,840

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Solution

The third proportional to 135,512 and 291,840 is: 628,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,512 : 291,840 = 291,840 : x
  2. Step 2: Convert to fraction form
    135,512/291,840 = 291,840/x
  3. Step 3: Cross multiply
    135,512x = 291,840 × 291,840
  4. Step 4: Simplify right side
    135,512x = 85,170,585,600
  5. Step 5: Solve for x
    x = 85,170,585,600/135,512
  6. Step 6: Final answer
    x = 628,509.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.