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Finding the Third Proportional to 222,582.78 and 344,869.68

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Solution

The third proportional to 222,582.78 and 344,869.68 is: 534,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,582.78 : 344,869.68 = 344,869.68 : x
  2. Step 2: Convert to fraction form
    222,582.78/344,869.68 = 344,869.68/x
  3. Step 3: Cross multiply
    222,582.78x = 344,869.68 × 344,869.68
  4. Step 4: Simplify right side
    222,582.78x = 118,935,097,314.90
  5. Step 5: Solve for x
    x = 118,935,097,314.90/222,582.78
  6. Step 6: Final answer
    x = 534,340.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.