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Finding the Third Proportional to 135,273.63 and 210,278.63

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Solution

The third proportional to 135,273.63 and 210,278.63 is: 326,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,273.63 : 210,278.63 = 210,278.63 : x
  2. Step 2: Convert to fraction form
    135,273.63/210,278.63 = 210,278.63/x
  3. Step 3: Cross multiply
    135,273.63x = 210,278.63 × 210,278.63
  4. Step 4: Simplify right side
    135,273.63x = 44,217,100,131.89
  5. Step 5: Solve for x
    x = 44,217,100,131.89/135,273.63
  6. Step 6: Final answer
    x = 326,871.55

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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.