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Finding the Third Proportional to 230,123.25 and 492,229.13

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Solution

The third proportional to 230,123.25 and 492,229.13 is: 1,052,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,123.25 : 492,229.13 = 492,229.13 : x
  2. Step 2: Convert to fraction form
    230,123.25/492,229.13 = 492,229.13/x
  3. Step 3: Cross multiply
    230,123.25x = 492,229.13 × 492,229.13
  4. Step 4: Simplify right side
    230,123.25x = 242,289,511,498.27
  5. Step 5: Solve for x
    x = 242,289,511,498.27/230,123.25
  6. Step 6: Final answer
    x = 1,052,868.46

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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.