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Finding the Third Proportional to 138,551.63 and 298,735.88

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Solution

The third proportional to 138,551.63 and 298,735.88 is: 644,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,551.63 : 298,735.88 = 298,735.88 : x
  2. Step 2: Convert to fraction form
    138,551.63/298,735.88 = 298,735.88/x
  3. Step 3: Cross multiply
    138,551.63x = 298,735.88 × 298,735.88
  4. Step 4: Simplify right side
    138,551.63x = 89,243,123,012.02
  5. Step 5: Solve for x
    x = 89,243,123,012.02/138,551.63
  6. Step 6: Final answer
    x = 644,114.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.