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Finding the Third Proportional to 135,292.50 and 292,251

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Solution

The third proportional to 135,292.50 and 292,251 is: 631,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,292.50 : 292,251 = 292,251 : x
  2. Step 2: Convert to fraction form
    135,292.50/292,251 = 292,251/x
  3. Step 3: Cross multiply
    135,292.50x = 292,251 × 292,251
  4. Step 4: Simplify right side
    135,292.50x = 85,410,647,001
  5. Step 5: Solve for x
    x = 85,410,647,001/135,292.50
  6. Step 6: Final answer
    x = 631,303.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.