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Finding the Third Proportional to 135,465.75 and 210,441.38

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Solution

The third proportional to 135,465.75 and 210,441.38 is: 326,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.75 : 210,441.38 = 210,441.38 : x
  2. Step 2: Convert to fraction form
    135,465.75/210,441.38 = 210,441.38/x
  3. Step 3: Cross multiply
    135,465.75x = 210,441.38 × 210,441.38
  4. Step 4: Simplify right side
    135,465.75x = 44,285,572,311.89
  5. Step 5: Solve for x
    x = 44,285,572,311.89/135,465.75
  6. Step 6: Final answer
    x = 326,913.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.