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Finding the Third Proportional to 183,495.38 and 268,162.31

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Solution

The third proportional to 183,495.38 and 268,162.31 is: 391,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,495.38 : 268,162.31 = 268,162.31 : x
  2. Step 2: Convert to fraction form
    183,495.38/268,162.31 = 268,162.31/x
  3. Step 3: Cross multiply
    183,495.38x = 268,162.31 × 268,162.31
  4. Step 4: Simplify right side
    183,495.38x = 71,911,025,845.35
  5. Step 5: Solve for x
    x = 71,911,025,845.35/183,495.38
  6. Step 6: Final answer
    x = 391,895.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.