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Finding the Third Proportional to 106,558 and 246,043.50

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Solution

The third proportional to 106,558 and 246,043.50 is: 568,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558 : 246,043.50 = 246,043.50 : x
  2. Step 2: Convert to fraction form
    106,558/246,043.50 = 246,043.50/x
  3. Step 3: Cross multiply
    106,558x = 246,043.50 × 246,043.50
  4. Step 4: Simplify right side
    106,558x = 60,537,403,892.25
  5. Step 5: Solve for x
    x = 60,537,403,892.25/106,558
  6. Step 6: Final answer
    x = 568,116.93

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.