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Finding the Third Proportional to 149,398.88 and 323,689.50

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Solution

The third proportional to 149,398.88 and 323,689.50 is: 701,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398.88 : 323,689.50 = 323,689.50 : x
  2. Step 2: Convert to fraction form
    149,398.88/323,689.50 = 323,689.50/x
  3. Step 3: Cross multiply
    149,398.88x = 323,689.50 × 323,689.50
  4. Step 4: Simplify right side
    149,398.88x = 104,774,892,410.25
  5. Step 5: Solve for x
    x = 104,774,892,410.25/149,398.88
  6. Step 6: Final answer
    x = 701,309.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.