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Finding the Third Proportional to 221,412.38 and 352,481.63

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Solution

The third proportional to 221,412.38 and 352,481.63 is: 561,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412.38 : 352,481.63 = 352,481.63 : x
  2. Step 2: Convert to fraction form
    221,412.38/352,481.63 = 352,481.63/x
  3. Step 3: Cross multiply
    221,412.38x = 352,481.63 × 352,481.63
  4. Step 4: Simplify right side
    221,412.38x = 124,243,295,962.64
  5. Step 5: Solve for x
    x = 124,243,295,962.64/221,412.38
  6. Step 6: Final answer
    x = 561,139.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.