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Finding the Third Proportional to 138,013.88 and 295,701.75

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Solution

The third proportional to 138,013.88 and 295,701.75 is: 633,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,013.88 : 295,701.75 = 295,701.75 : x
  2. Step 2: Convert to fraction form
    138,013.88/295,701.75 = 295,701.75/x
  3. Step 3: Cross multiply
    138,013.88x = 295,701.75 × 295,701.75
  4. Step 4: Simplify right side
    138,013.88x = 87,439,524,953.06
  5. Step 5: Solve for x
    x = 87,439,524,953.06/138,013.88
  6. Step 6: Final answer
    x = 633,556.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.