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Finding the Third Proportional to 230,488.50 and 310,713

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Solution

The third proportional to 230,488.50 and 310,713 is: 418,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,488.50 : 310,713 = 310,713 : x
  2. Step 2: Convert to fraction form
    230,488.50/310,713 = 310,713/x
  3. Step 3: Cross multiply
    230,488.50x = 310,713 × 310,713
  4. Step 4: Simplify right side
    230,488.50x = 96,542,568,369
  5. Step 5: Solve for x
    x = 96,542,568,369/230,488.50
  6. Step 6: Final answer
    x = 418,860.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.