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Finding the Third Proportional to 222,490.13 and 353,742.19

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Solution

The third proportional to 222,490.13 and 353,742.19 is: 562,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,490.13 : 353,742.19 = 353,742.19 : x
  2. Step 2: Convert to fraction form
    222,490.13/353,742.19 = 353,742.19/x
  3. Step 3: Cross multiply
    222,490.13x = 353,742.19 × 353,742.19
  4. Step 4: Simplify right side
    222,490.13x = 125,133,535,217.29
  5. Step 5: Solve for x
    x = 125,133,535,217.29/222,490.13
  6. Step 6: Final answer
    x = 562,422.87

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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.