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Finding the Third Proportional to 149,339.81 and 322,451.44

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Solution

The third proportional to 149,339.81 and 322,451.44 is: 696,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339.81 : 322,451.44 = 322,451.44 : x
  2. Step 2: Convert to fraction form
    149,339.81/322,451.44 = 322,451.44/x
  3. Step 3: Cross multiply
    149,339.81x = 322,451.44 × 322,451.44
  4. Step 4: Simplify right side
    149,339.81x = 103,974,929,545.82
  5. Step 5: Solve for x
    x = 103,974,929,545.82/149,339.81
  6. Step 6: Final answer
    x = 696,230.48

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Why These Related Problems?

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