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Finding the Third Proportional to 221,308.50 and 335,303.25

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Solution

The third proportional to 221,308.50 and 335,303.25 is: 508,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,308.50 : 335,303.25 = 335,303.25 : x
  2. Step 2: Convert to fraction form
    221,308.50/335,303.25 = 335,303.25/x
  3. Step 3: Cross multiply
    221,308.50x = 335,303.25 × 335,303.25
  4. Step 4: Simplify right side
    221,308.50x = 112,428,269,460.56
  5. Step 5: Solve for x
    x = 112,428,269,460.56/221,308.50
  6. Step 6: Final answer
    x = 508,016.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.