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Finding the Third Proportional to 149,340 and 322,429.50

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Solution

The third proportional to 149,340 and 322,429.50 is: 696,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,340 : 322,429.50 = 322,429.50 : x
  2. Step 2: Convert to fraction form
    149,340/322,429.50 = 322,429.50/x
  3. Step 3: Cross multiply
    149,340x = 322,429.50 × 322,429.50
  4. Step 4: Simplify right side
    149,340x = 103,960,782,470.25
  5. Step 5: Solve for x
    x = 103,960,782,470.25/149,340
  6. Step 6: Final answer
    x = 696,134.88

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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.