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Finding the Third Proportional to 226,275 and 335,494.50

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Solution

The third proportional to 226,275 and 335,494.50 is: 497,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,275 : 335,494.50 = 335,494.50 : x
  2. Step 2: Convert to fraction form
    226,275/335,494.50 = 335,494.50/x
  3. Step 3: Cross multiply
    226,275x = 335,494.50 × 335,494.50
  4. Step 4: Simplify right side
    226,275x = 112,556,559,530.25
  5. Step 5: Solve for x
    x = 112,556,559,530.25/226,275
  6. Step 6: Final answer
    x = 497,432.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.