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Finding the Third Proportional to 222,719.63 and 302,590.69

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Solution

The third proportional to 222,719.63 and 302,590.69 is: 411,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,719.63 : 302,590.69 = 302,590.69 : x
  2. Step 2: Convert to fraction form
    222,719.63/302,590.69 = 302,590.69/x
  3. Step 3: Cross multiply
    222,719.63x = 302,590.69 × 302,590.69
  4. Step 4: Simplify right side
    222,719.63x = 91,561,124,161.72
  5. Step 5: Solve for x
    x = 91,561,124,161.72/222,719.63
  6. Step 6: Final answer
    x = 411,104.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.