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Finding the Third Proportional to 119,648.25 and 245,443.50

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Solution

The third proportional to 119,648.25 and 245,443.50 is: 503,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,648.25 : 245,443.50 = 245,443.50 : x
  2. Step 2: Convert to fraction form
    119,648.25/245,443.50 = 245,443.50/x
  3. Step 3: Cross multiply
    119,648.25x = 245,443.50 × 245,443.50
  4. Step 4: Simplify right side
    119,648.25x = 60,242,511,692.25
  5. Step 5: Solve for x
    x = 60,242,511,692.25/119,648.25
  6. Step 6: Final answer
    x = 503,496.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.