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Finding the Third Proportional to 135,758.25 and 298,226.25

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Solution

The third proportional to 135,758.25 and 298,226.25 is: 655,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,758.25 : 298,226.25 = 298,226.25 : x
  2. Step 2: Convert to fraction form
    135,758.25/298,226.25 = 298,226.25/x
  3. Step 3: Cross multiply
    135,758.25x = 298,226.25 × 298,226.25
  4. Step 4: Simplify right side
    135,758.25x = 88,938,896,189.06
  5. Step 5: Solve for x
    x = 88,938,896,189.06/135,758.25
  6. Step 6: Final answer
    x = 655,127.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.