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Finding the Third Proportional to 149,779.13 and 326,006.44

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Solution

The third proportional to 149,779.13 and 326,006.44 is: 709,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,779.13 : 326,006.44 = 326,006.44 : x
  2. Step 2: Convert to fraction form
    149,779.13/326,006.44 = 326,006.44/x
  3. Step 3: Cross multiply
    149,779.13x = 326,006.44 × 326,006.44
  4. Step 4: Simplify right side
    149,779.13x = 106,280,197,291.44
  5. Step 5: Solve for x
    x = 106,280,197,291.44/149,779.13
  6. Step 6: Final answer
    x = 709,579.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.