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Finding the Third Proportional to 149,429.81 and 322,474.50

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Solution

The third proportional to 149,429.81 and 322,474.50 is: 695,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,429.81 : 322,474.50 = 322,474.50 : x
  2. Step 2: Convert to fraction form
    149,429.81/322,474.50 = 322,474.50/x
  3. Step 3: Cross multiply
    149,429.81x = 322,474.50 × 322,474.50
  4. Step 4: Simplify right side
    149,429.81x = 103,989,803,150.25
  5. Step 5: Solve for x
    x = 103,989,803,150.25/149,429.81
  6. Step 6: Final answer
    x = 695,910.68

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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.